Groups and group theory Books
£107.35
£113.05
£129.67
Springer Verlag, Singapore Algebra 1: Groups, Rings, Fields and Arithmetic
Book SynopsisThis is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.Trade Review“The rich material is explaind in a very lucid, detailed and rigorous style. Together with the unique wealth of instructive illustrations, examples, and exercises, the main text makes an excellent source for both teaching and self-study of the subject. Certainly, this new textbook is a very useful and valuable enrichment of the plenty of existing primers in the field of higher algebra.” (Werner Kleinert, zbMATH 1369.00002, 2017)Table of ContentsChapter 1. Language of mathematics 1 (Logic).- Chapter 2. Language Of Mathematics 2 (Set Theory).- Chapter 3. Number System.- Chapter 4. Group Theory.- Chapter 5. Fundamental Theorems.- Chapter 6. Permutation groups and Classical Groups.- Chapter 7. Elementary Theory of Rings and Fields.- Chapter 8. Number Theory 2.- Chapter 9. Structure theory of groups.- Chapter 10. Structure theory continued.- Chapter 11. Arithmetic in Rings.
£44.99
MP-AMM American Mathematical Geometric Analysis on the Heisenberg Group and Its Generalizations
Book SynopsisThe theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. This book examines the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics.Table of ContentsGeometric mechanics on the Heisenberg group Geometric analysis of step 4 case The geometric analysis of step $2(k+1)$ case Geometry on higher dimensional Heisenberg groups Complex Hamiltonian mechanics Quantum mechanics on the Heisenberg group Bibliography Index.
£999.99
Nova Science Publishers Inc Group Theoretical Foundations of Quantum
Book SynopsisGroup Theoretical Foundations of Quantum Mechanics
£83.29
Nova Science Publishers Inc New Topics in Theoretical Physics
Book SynopsisAlthough the various branches of physics differ in their experimental methods and theoretical approaches, certain general principles apply to all of them. The forefront of contemporary advances in physics lies in the submicroscopic regime, whether it be in atomic, nuclear, condensed-matter, plasma, or particle physics, or in quantum optics, or even in the study of stellar structure. All are based upon quantum theory (i.e: quantum mechanics and quantum field theory) and relativity, which together form the theoretical foundations of modern physics. Many physical quantities whose classical counterparts vary continuously over a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values. The intrinsically deterministic character of classical physics is replaced in quantum theory by intrinsic uncertainty. According to quantum theory, electromagnetic radiation does not always consist of continuous waves; instead it must be viewed under some circumstances as a collection of particle-like photons, the energy and momentum of each being directly proportional to its frequency (or inversely proportional to its wavelength, the photons still possessing some wavelike characteristics). This book presents state-of-the-art research from around the world.
£187.99
Nova Science Publishers Inc Group Theory: Classes, Representation &
Book SynopsisGroup theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have strongly influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced tremendous advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, can be modelled by symmetry groups. Thus group theory and the closely related representation theory have many applications in physics and chemistry. This new and important book gathers the latest research from around the globe in the study of group theory and highlights such topics as: application of symmetry analysis to the description of ordered structures in crystals, a survey of Lie Group analysis, graph groupoids and representations, and others.
£198.39
Imperial College Press Representations Of Finite And Lie Groups
Book SynopsisThis book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as an averaging tool. Among the topics covered are the relation between representations and characters, the construction of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group Sn as an illustrative example. The book concludes with a chapter comparing the representations of the finite group SL2(p) and the non-compact Lie group SL2(P).Trade Review"The author took care to always keep close to his main topic, which is the representations, and to give the reader an impression of a variety of results without loading the book with extensive theory ... The booklet can be recommended as a short introduction to what representation theory is about."Mathematical Reviews"This is a straight, very readable introduction to representation theory of finite groups in characteristic 0 case ... this nice booklet can be recommended warmly to anyone who wants to become familiar quickly with group representations."Monatshefte fur MathematikTable of ContentsBasic Representation Theory-I; Induced Representations and Their Characters; Multilinear Algebra and U-rings; Representations of Compact Groups; Lie Groups and Algebras; SL2(p) and SL2( A).
£65.55
Mathematical Society of Japan Geometry, Dynamics, And Foliations 2013: In Honor
Book SynopsisThis volume is an outcome of the conference 'Geometry and Foliations 2013' held in Tokyo in September 2013 and associated meetings, aimed for providing a good overview of the present studies as well as some perspective for further studies.The aspects and quality of the volume is represented by B Deroin's survey on Brownian motions on foliated complex surfaces which contains many essential results and ideas.Other articles cover wide topics of foliations and groups of diffeomorphisms old and new; some discuss characteristic classes such as Godbillon-Vey class or homotopy theory of foliations while others deal with topological and differential geometrical aspects, particularly in the holomorphic setting.Also, several articles shows relationship to the geometric group theory.Highly recommended to researchers and graduate students who are interested in and going to study the theories of foliations and related topics such as diffeomorphism groups, geometric group theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
£80.75
World Scientific Publishing Co Pte Ltd Group Theory: An Intuitive Approach
Book SynopsisA thorough introduction to group theory, this (highly problem-oriented) book goes deeply into the subject to provide a fuller understanding than available anywhere else. The book aims at, not only teaching the material, but also helping to develop the skills needed by a researcher and teacher, possession of which will be highly advantageous in these very competitive times, particularly for those at the early, insecure, stages of their careers. And it is organized and written to serve as a reference to provide a quick introduction giving the essence and vocabulary useful for those who need only some slight knowledge, those just learning, as well as researchers, and especially for the latter it provides a grasp, and often material and perspective, not otherwise available.Table of ContentsThe physical principles of group theory; examples of groups; groups as mathematical objects; groups, combinations, subsets; the group as a representation of itself; properties of representations; the symmetric group and its representations; applications of symmetric group representations; the rotation groups and their relatives; representations of groups SO(3) and SU(2); applications of representations of SO(3) and O(3); Lie algebras; representations of Lie algebras; groups of crystals and molecules.
£38.95
Springer Verlag, Singapore A Gentle Introduction to Group Theory
Book SynopsisBackground Results in Set Theory.- Algebraic Operations on Integers.- The Integers Modulo.- Semigroups.- Groups.- The Symmetric Group.- Subgroups.- Groups Homomorphisms and Isomorphic Groups.- Classification of Finite Abelian Groups.- Group Theory and SageMath.
£40.49
Taylor & Francis Ltd Creating High Performance Teams
Book SynopsisCreating High Performance Teams is an accessible and thorough new introduction to this key area of business education. Written by teams experts Ray Aldag and Loren Kuzuhara, this book provides students with both a firm grounding in the key concepts of the field and the practical tools to become successful team managers and members. Built on a solid foundation of the most up to date research and theory, chapters are packed with case studies, real-world examples, tasks and discussion questions, while a companion website supports the book with a wealth of useful resources for students, team members, and instructors.Centered around an original model for high performance teams, topics covered include: Building and developing effective teams Managing diversity Effective communication Team processes â meetings, performance management Dealing with change and team problems Current issues â virtual teams, globalization With its combined emphasis on principles and application, interwoven with the tools, topics, and teams most relevant today, Creating High Performance Teams is perfectly placed to equip upper-level undergraduate and MBA students with the knowledge and skills necessary to take on teams in any situation.Trade Review‘Aldag and Kuzuhara have written the book I've been wanting: beyond its thorough coverage of the latest teams-related literature, it provides skill-building exercises, and plenty of examples from work organizations; it is engaging to read and filled with practical wisdom. Students and managers of teams will love it.’Marianne J. Koch, Associate Dean and Professor of Management, Golden Gate University, USA‘Aldag and Kuzuhara have created an exceptional framework for understanding and building high performance teams. Each chapter builds incrementally to facilitate student insight and adaptive behaviour within teams. The footnotes/references and callouts for cases are a great resource for further analysis by the learners. To me the chapter on Socializing, Building Trust, Training, Motivating, and Leading Teams provided significant wisdom into the challenges of sharing, communication, and authentic trust amongst members of a team. Too often integrating these concepts into a textbook falls flat; but not with this text.’Michael J.D. Sutton, Associate Professor, Bill and Vieve Gore School of Business, Westminster College, USATable of Contents1. Teams: Opportunities and Challenges 2. Designing the Team System 3. Building and Developing the Team 4. Socializing, Building Trust, Training Motivating, and Leading Teams 5. Managing Team Diversity 6. Fostering Effective Communication in Teams 7. Facilitating Team Processes 8. Managing Change in Teams 9. Dealing with Team Problems 10. Evaluating Team Effectiveness 11. The New Teams: Virtual, Global, Connected, and Self-Managing 12. Designing and Implementing Team-Based Organizations 13. Teams Summary and Integration
£80.74
American Mathematical Society Continuous Symmetry from Euclid to Klein from
Book SynopsisThe fundamental idea of geometry is that of symmetry. With that principle as the starting point, this book presents a study of Euclidean geometry. It focuses on transformations of the plane. It contains hundreds of exercises. It is suitable for a one-semester undergraduate course on geometry.Table of ContentsFoundations of geometry in the plane Isometries in the plane: Products of reflections Isometries in the plane: Classification and structure Similarities in the plane Conjugacy and geometric equivalence Applications to plane geometry Symmetric figures in the plane Frieze and wallpaper groups Area, volume, and scaling References Index.
£67.50
Springer International Publishing AG From Rings and Modules to Hopf Algebras: One Flew
Book SynopsisThis textbook provides an introduction to fundamental concepts of algebra at upper undergraduate to graduate level, covering the theory of rings, fields and modules, as well as the representation theory of finite groups.Throughout the book, the exposition relies on universal constructions, making systematic use of quotients and category theory — whose language is introduced in the first chapter. The book is divided into four parts. Parts I and II cover foundations of rings and modules, field theory and generalities on finite group representations, insisting on rings of polynomials and their ideals. Part III culminates in the structure theory of finitely generated modules over Dedekind domains and its applications to abelian groups, linear maps, and foundations of algebraic number theory. Part IV is an extensive study of linear representations of finite groups over fields of characteristic zero, including graded representations and graded characters as well as a final chapter on the Drinfeld–Lusztig double of a group algebra, appearing for the first time in a textbook at this level.Based on over twenty years of teaching various aspects of algebra, mainly at the École Normale Supérieure (Paris) and at Peking University, the book reflects the audiences of the author's courses. In particular, foundations of abstract algebra, like linear algebra and elementary group theory, are assumed of the reader. Each of the of four parts can be used for a course — with a little ad hoc complement on the language of categories. Thanks to its rich choice of topics, the book can also serve students as a reference throughout their studies, from undergraduate to advanced graduate level.Table of Contents1 Prerequisites and Preliminaries.- Part I Rings and Modules.- 2 Rings, Polynomials, Divisibility.- 3 Polynomial Rings in Several Indeterminates.- 4 More on Modules.- 5 On Representations of Finite Groups.- Part II Integral Domains, Polynomials, Fields.- 6 Prime and Maximal Ideals, Integral Domains.- 7 Fields, Division Rings.- Part III Finitely Generated Modules.- 8 Integrality, Noetherianity.- 9 Finitely Generated Projective Modules.- 10 Finitely Generated Modules Over Dedekind Domains.- 11 Complement on Dedekind Domains.- Part IV Characteristic Zero Linear Representations of Finite Groups.- 12 Monoidal Categories: An Introduction.- 13 Characteristic 0 Representations.- 14 Playing With the Base Field.- 15 Induction and Restriction: Some Applications to Finite Groups.- 16 Brauer’s Theorem and Some Applications.- 17 Graded Representations and Characters.- 18 The Drinfeld–Lusztig Double of a Group Algebra.
£71.99
Springer International Publishing AG Lie Groups, Lie Algebras, and Representations: An
Book SynopsisThis textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.Review of the first edition:This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended.— The Mathematical GazetteTrade Review“The first edition of this book was very good; the second is even better, and more versatile. This text remains one of the most attractive sources available from which to learn elementary Lie group theory, and is highly recommended.” (Mark Hunacek, The Mathematical Gazette, Vol. 101 (551), July, 2017)Table of ContentsPart I: General Theory.-Matrix Lie Groups.- The Matrix Exponential.- Lie Algebras.- Basic Representation Theory.- The Baker–Campbell–Hausdorff Formula and its Consequences.- Part II: Semisimple Lie Algebras.- The Representations of sl(3;C).-Semisimple Lie Algebras.- Root Systems.- Representations of Semisimple Lie Algebras.- Further Properties of the Representations.- Part III: Compact lie Groups.- Compact Lie Groups and Maximal Tori.- The Compact Group Approach to Representation Theory.- Fundamental Groups of Compact Lie Groups.- Appendices.
£48.59
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Visual Group Theory
Book Synopsis
£999.99
Springer-Verlag New York Inc. Groups and Representations
Book SynopsisFocussing on the non-commutative side of the field, this advanced textbook emphasizes the general linear group as the most important group and example.Readers are expected to be familiar with groups, rings, and fields, and to have a solid knowledge of linear algebra.Table of Contents1. Rudiments of Group Theory.- 1. Review.- 2. Automorphisms.- 3. Group Actions.- 2. The General Linear Group.- 4. Basic Structure.- 5. Parabolic Subgroups.- 6. The Special Linear Group.- 3. Local Structure.- 7. Sylow’s Theorem.- 8. Finite p-groups.- 9. The Schur-Zassenhaus Theorem.- 4. Normal Structure.- 10. Composition Series.- 11. Solvable Groups.- 5. Semisimple Algebras.- 12. Modules and Representations.- 13. Wedderburn Theory.- 6. Group Representations.- 14. Characters.- 15. The Character Table.- 16. Induction.- Appendix: Algebraic Integers and Characters.- List of Notation.
£49.49
Springer-Verlag New York Inc. Introduction to Mechanics and Symmetry
Book SynopsisSpecific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering.Trade Review"The book is self-contained.It remains a good and solid introduction to this subject."Nieuw Archief voor Wiskunde, March 2001 "... This book takes the reader on one of the greatest journeys in modern mathematics that has as its roots a subject that is more than 300 years old. Armed with this knowledge a reader is ready to pursue numerous topics of active mathematical research, from the more pure domains of symplectic geometry and topology to the geometric analysis of the limitless supply of examples from mechanics."Newsletter of the Newzealand Mathematical Society, No. 81, April 2001 Second Edition J.E. Marsden and T.S. Ratiu Introduction to Mechanics and Symmetry A Basic Exposition of Classical Mechanical Systems "As the name of the book implies, a consistent theme running through the book is that of symmetry. Indeed the latter half of the book focuses on Poisson manifolds, momentum maps, Lie-Poisson reduction, co-adjoint orbits and the integrability of the rigid body. The discussion of reduction must be the most comprehensive yet given. A pleasant feature of the book is that most of the theory that relates to finite-dimensional mechanical systems is illustrated concretely in terms of local coordinates, thereby making the book accessible even to beginners in the field."—MATHEMATICAL REVIEWSTable of ContentsPreface * About the Authors * 1 Introduction and Overview * 2 Hamiltonian Systems on Linear Symplectic Spaces * 3 An Introduction to Infinite-Dimensional Systems * 4 Manifolds, Vector Fields, and Differential Forms * 5 Hamiltonian Systems on Symplectic Manifolds * 6 Cotangent Bundles * 7 Lagrangian Mechanics * 8 Variational Principles, Constraints, and Rotating Systems * 9 An Introduction to Lie Groups * 10 Poisson Manifolds * 11 Momentum Maps *12 Computation and Properties of Momentum Maps * 13 Lie-Poisson and Euler-Poincare Reduction * 14 Coadjoint Orbits * 15 The Free Rigid Body * References
£67.49
Princeton University Press Twisted LFunctions and Monodromy
Book SynopsisFor hundreds of years, the study of elliptic curves has played a central role in mathematics. This book explores: What is the average rank of elliptic curves, and how does the rank vary in various kinds of families of elliptic curves? It is suitable for those interested in number theory and algebraic geometry.Table of Contents*FrontMatter, pg. i*Contents, pg. v*Introduction, pg. 3*Chapter 1: "Abstract" Theorems of Big Monodromy, pg. 23*Appendix to Chapter 1: A Result of Zalesskii, pg. 43*Chapter 2: Lefschetz Pencils, Especially on Curves, pg. 51*Chapter 3: Induction, pg. 71*Chapter 4: Middle Convolution, pg. 79*Chapter 5: Twist Sheaves and Their Monodromy, pg. 85*Chapter 6: Dependence on Parameters, pg. 117*Chapter 7: Diophantine Applications over a Finite Field, pg. 125*Chapter 8: Average Order of Zero in Twist Families, pg. 147*Chapter 9: Twisting by "Primes", and Working over Z, pg. 179*Chapter 10: Horizontal Results, pg. 207*References, pg. 235*Index, pg. 241
£74.80
Princeton University Press Social and Economic Networks
Book SynopsisNetworks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. This book offers a comprehensive introduction to social and economic networks, drawing on the findings in economics, sociology, computer science, physics, and mathematics.Trade ReviewHonorable Mention for the 2008 PROSE Award in Economics, Association of American Publishers "Jackson's review of diffusion models is excellent, as tight an overview of these models as I have seen anywhere... Social and Economic Networks is a must-read for all those steeped in the traditional social network analysis paradigm. Economists will find Jackson offers them a superb and accessible introduction to network questions and models. And for others from any social science background curious about social networks, I recommend a careful read of the book."--David Krackhardt, Science "This book deserves the highest recommendations for all readers interested in networks and interdependence. It is written clearly, and could be used both as a starting textbook for a journey to the world of networks and also as an expert guide for scientists studying social and economic networks."--Karoly Takacs, Journal of Artificial Societies and Social Simulation "I strongly recommend this book to any scholar or student interested in networks, not only in economics but in any connected field such as sociology, physics, and applied mathematics. Matthew Jackson's guided tour of the literature on economic and social networks is superb."--Joan de Marti Beltran, Regional Science and Urban Economics "[T]his is a valuable book that raises crucial questions for today's sociologist interested in social networks."--Paola Tubaro, SociologyTable of ContentsPreface xi PART I: BACKGROUND AND FUNDAMENTALS OF NETWORK ANALYSIS Chapter 1 Introduction 3 1.1 Why Model Networks? 3 1.2 A Set of Examples 4 1.3 Exercises 17 Chapter 2: Representing and Measuring Networks 20 2.1 Representing Networks 20 2.2 Some Summary Statistics and Characteristics of Networks 30 2.3 Appendix: Basic Graph Theory 43 2.4 Appendix: Eigenvectors and Eigenvalues 49 2.5 Exercises 51 Chapter 3: Empirical Background on Social and Economic Networks 54 3.1 The Prevalence of Social Networks 55 3.2 Observations on the Structure of Networks 56 PART II: MODELS OF NETWORK FORMATION Chapter 4: Random-Graph Models of Networks 77 4.1 Static Random-Graph Models of Random Networks 78 4.2 Properties of Random Networks 86 4.3 An Application: Contagion and Diffusion 105 4.4 Distribution of Component Sizes 107 4.5 Appendix: Useful Facts, Tools, and Theorems 110 4.6 Exercises 121 Chapter 5: Growing Random Networks 124 5.1 Uniform Randomness: An Exponential Degree Distribution 125 5.2 Preferential Attachment 130 5.3 Hybrid Models 134 5.4 Small Worlds, Clustering, and Assortativity 141 5.5 Exercises 150 Chapter 6: Strategic Network Formation 153 6.1 Pairwise Stability 154 6.2 Efficient Networks 157 6.3 Distance-Based Utility 159 6.4 A Coauthor Model and Negative Externalities 166 6.5 Small Worlds in an Islands-Connections Model 170 6.6 A General Tension between Stability and Efficiency 173 6.7 Exercises 179 PART III: IMPLICATIONS OF NETWORK STRUCTURE Chapter 7: Diffusion through Networks 185 7.1 Background: The Bass Model 187 7.2 Spread of Information and Disease 189 7.3 Search and Navigation on Networks 209 7.4 Exercises 221 Chapter 8: Learning and Networks 223 8.1 Early Theory and Opinion Leaders 224 8.2 Bayesian and Observational Learning 225 8.3 Imitation and Social Influence Models: The DeGroot Model 228 8.4 Exercises 253 Chapter 9: Decisions, Behavior, and Games on Networks 257 9.1 Decisions and Social Interaction 258 9.2 Graphical Games 269 9.3 Semi-Anonymous Graphical Games 273 9.4 Randomly Chosen Neighbors and Network Games 279 9.5 Richer Action Spaces 286 9.6 Dynamic Behavior and Contagion 293 9.7 Multiple Equilibria and Diffusion in Network Games 297 9.8 Computing Equilibria 304 9.9 Appendix: A Primer on Noncooperative Game Theory 308 9.10 Exercises 319 Chapter 10: Networked Markets 327 10.1 Social Embeddedness of Markets and Exchange 328 10.2 Networks in Labor Markets 334 10.3 Models of Networked Markets 353 10.4 Concluding Remarks 365 10.5 Exercises 366 PART IV: METHODS, TOOLS, AND EMPIRICAL ANALYSES Chapter 11: Game-Theoretic Modeling of Network Formation 371 11.1 Defining Stability and Equilibrium 372 11.2 The Existence of Stable Networks 377 11.3 Directed Networks 383 11.4 Stochastic Strategic Models of Network Formation 388 11.5 Farsighted Network Formation 395 11.6 Transfers and Network Formation 399 11.7 Weighted Network Formation 402 11.8 Agent-Based Modeling 406 11.9 Exercises 407 Chapter 12: Allocation Rules, Networks, and Cooperative Games 411 12.1 Cooperative Game Theory 412 12.2 Communication Games 416 12.3 Networks and Allocation Rules 419 12.4 Allocation Rules When Networks Are Formed 425 12.5 Concluding Remarks 430 12.6 Exercises 430 Chapter 13: Observing and Measuring Social Interaction 434 13.1 Specification and Identification 435 13.2 Community Structures, Block Models, and Latent Spaces 443 13.3 Exercises 457 Afterword 459 Bibliography 461 Index 491
£40.50
Princeton University Press Some Problems of Unlikely Intersections in
Book SynopsisConsiders the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. This book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension.Trade Review"Zannier's book is well written and a pleasure to read... [T]he author always makes an effort to point out key ideas and key steps, so a reader who wants to read and understand the complete proofs in this technically demanding field will find this monograph to be an extremely helpful entree into the subject... [T]he reviewer highly recommends Zannier's book as an excellent survey of and introduction to the important and hot topic of unlikely intersections in arithmetic geometry."--Joseph H. Silverman, Bulletin of the AMS "This book is indeed a great source of knowledge and inspiration for everybody interested in the unlikely intersection problems. The author must be commended for doing this job, and doing it so well."--Yuri Bilu, Mathematical Reviews ClippingsTable of Contents*FrontMatter, pg. i*Contents, pg. v*Preface, pg. ix*Notation and Conventions, pg. xi*Introduction: An Overview of Some Problems of Unlikely Intersections, pg. 1*Chapter 1: Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture, pg. 15*Chapter 2: An Arithmetical Analogue, pg. 43*Chapter 3 Unlikely Intersections in Elliptic Surfaces and Problems of Masser, pg. 62*Chapter 4: About the Andre-Oort Conjecture, pg. 96*Appendix A: Distribution of Rational Points on Subanalytic Surfaces, pg. 128*Appendix B: Uniformity in Unlikely Intersections: An Example for Lines in Three Dimensions, pg. 136*Appendix C: Silverman's Bounded Height Theorem for Elliptic Curves: A Direct Proof, pg. 138*Appendix D: Lower Bounds for Degrees of Torsion Points: The Transcendence Approach, pg. 140*Appendix E: A Transcendence Measure for a Quotient of Periods, pg. 143*Appendix F: Counting Rational Points on Analytic Curves: A Transcendence Approach, pg. 145*Appendix G: Mixed Problems: Another Approach, pg. 147*Bibliography, pg. 149*Index, pg. 159
£999.99
Princeton University Press MumfordTate Groups and Domains
Book SynopsisMumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.Trade Review"The brilliance of the results and their broad spectrum of their applications makes this book an outstanding piece. Yet, there is more to write and to develop: the authors suggest the existence of future lines of research for a next book."--Jonathan Sanchez Hernandez, European Mathematical SocietyTable of ContentsIntroduction 1 I Mumford-Tate Groups 28 I.A Hodge structures 28 I.B Mumford-Tate groups 32 I.C Mixed Hodge structures and their Mumford-Tate groups 38 II Period Domains and Mumford-Tate Domains 45 II.A Period domains and their compact duals 45 II.B Mumford-Tate domains and their compact duals 55 II.C Noether-Lefschetz loci in period domains 61 III The Mumford-Tate Group of a Variation of Hodge Structure 67 III.A The structure theorem for variations of Hodge structures 69 III.B An application of Mumford-Tate groups 78 III.C Noether-Lefschetz loci and variations of Hodge structure .81 IV Hodge Representations and Hodge Domains 85 IV.A Part I: Hodge representations 86 IV.B The adjoint representation and characterization of which weights give faithful Hodge representations 109 IV.C Examples: The classical groups 117 IV.D Examples: The exceptional groups 126 IV.E Characterization of Mumford-Tate groups 132 IV.F Hodge domains 149 IV.G Mumford-Tate domains as particular homogeneous complex manifolds 168 Appendix: Notation from the structure theory of semisimple Lie algebras 179 V Hodge Structures with Complex Multiplication 187 V.A Oriented number fields 189 V.B Hodge structures with special endomorphisms 193 V.C A categorical equivalence 196 V.D Polarization and Mumford-Tate groups . 198 V.E An extended example 202 V.F Proofs of Propositions V.D.4 and V.D.5 in the Galois case 209 VI Arithmetic Aspects of Mumford-Tate Domains 213 VI.A Groups stabilizing subsets of D 215 VI.B Decomposition of Noether-Lefschetz into Hodge orientations 219 VI.C Weyl groups and permutations of Hodge orientations 231 VI.D Galois groups and fields of definition 234 Appendix: CM points in unitary Mumford-Tate domains 239 VII Classification of Mumford-Tate Subdomains 240 VII.A A general algorithm 240 VII.B Classification of some CM-Hodge structures 243 VII.C Determination of sub-Hodge-Lie-algebras 246 VII.D Existence of domains of type IV(f) 251 VII.E Characterization of domains of type IV(a) and IV(f) 253 VII.F Completion of the classification for weight 3 256 VII.G The weight 1 case 260 VII.H Algebro-geometric examples for the Noether-Lefschetzlocus types 265 VIII Arithmetic of Period Maps of Geometric Origin 269 VIII.A Behavior of fields of definition under the period Map -- image and preimage 270 VIII.B Existence and density of CM points in motivic VHS 275 Bibliography 277 Index 287
£999.99
Princeton University Press Chow Rings Decomposition of the Diagonal and the
Book SynopsisProvides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. This title delves into arguments originating in Nori's work that have been further developed by others.Trade Review"This dense, fascinating book by Voisin is a report of some of the exciting discoveries she has made in the quest of the secrets of algebraic cycles."--Alberto Collino, Zentralblatt MATH "[An advanced] reader will find a rich collection of ideas as well as detailed machinery with which to attack difficult problems in the field. Any complex geometer interested in the interplay between algebraic cycles, Hodge theory and algebraic topology should have this book on his or her shelf."--C. A. M. Peters, Mathematical Reviews ClippingsTable of ContentsPreface vii 1Introduction 1 1.1 Decomposition of the diagonal and spread 3 1.2 The generalized Bloch conjecture 7 1.3 Decomposition of the small diagonal and application to the topology of families 9 1.4 Integral coefficients and birational invariants 11 1.5 Organization of the text 13 2Review of Hodge theory and algebraic cycles 15 2.1 Chow groups 15 2.2 Hodge structures 24 3Decomposition of the diagonal 36 3.1 A general principle 36 3.2 Varieties with small Chow groups 44 4Chow groups of large coniveau complete intersections 55 4.1 Hodge coniveau of complete intersections 55 4.2 Coniveau 2 complete intersections 64 4.3 Equivalence of generalized Bloch and Hodge conjectures for general complete intersections 67 4.4 Further applications to the Bloch conjecture on 0-cycles on surfaces 86 5On the Chow ring of K3 surfaces and hyper-Kahler manifolds 88 5.1 Tautological ring of a K3 surface 88 5.2 A decomposition of the small diagonal 96 5.3 Deligne's decomposition theorem for families of K3 surfaces 106 6Integral coefficients 123 6.1 Integral Hodge classes and birational invariants 123 6.2 Rationally connected varieties and the rationality problem 127 6.3 Integral decomposition of the diagonal and the structure of the Abel-Jacobi map 139 Bibliography 155 Index 163
£157.50
Princeton University Press Hodge Theory
Book SynopsisProvides an introduction to Hodge theory - one of the central and most vibrant areas of contemporary mathematics - from leading specialists on the subject. This book includes topics that range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps.Trade Review"Charles and Schnell's chapter beautifully surveys the theory of absolute Hodge classes, giving in particular a complete proof of Deligne's theorem on absolute Hodge classes on abelian varieties... A welcome addition to the literature and should be useful to both graduate students and researchers working in Hodge theory."--Dan Petersen, MathSciNetTable of Contents*FrontMatter, pg. i*Contributors, pg. v*Contents, pg. vii*Preface, pg. xv*Chapter One. Introduction to Kahler Manifolds, pg. 1*Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem, pg. 70*Chapter Three. Mixed Hodge Structures, pg. 123*Chapter Four. Period Domains and Period Mappings, pg. 217*Chapter Five. The Hodge Theory of Maps, pg. 257*Chapter Six The Hodge Theory of Maps, pg. 273*Chapter Seven. Introduction to Variations of Hodge Structure, pg. 297*Chapter Eight. Variations of Mixed Hodge Structure, pg. 333*Chapter Nine. Lectures on Algebraic Cycles and Chow Groups, pg. 410*Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles, pg. 449*Chapter Eleven. Notes on Absolute Hodge Classes, pg. 469*Chapter Twelve. Shimura Varieties: A Hodge-Theoretic Perspective, pg. 531*Bibliography, pg. 574*Index, pg. 577
£78.20
Princeton University Press The padic Simpson Correspondence
Book SynopsisTrade Review"The authors give a very detailed introduction to the theory, smoothing out some difficulties by introducing new concepts."--Gerd Faltings, Zentralblatt MATHTable of Contents*Frontmatter, pg. i*Contents, pg. vii*Foreword, pg. ix*Chapter I. Representations of the fundamental group and the torsor of deformations. An overview, pg. 1*Chapter II. Representations of the fundamental group and the torsor of deformations. Local study, pg. 27*Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects, pg. 179*Chapter IV. Cohomology of Higgs isocrystals, pg. 307*Chapter V. Almost etale coverings, pg. 449*Chapter VI. Covanishing topos and generalizations, pg. 485*Facsimile : A p-adic Simpson correspondence, pg. 577*Bibliography, pg. 595*Indexes, pg. 599
£146.70
Princeton University Press The padic Simpson Correspondence
Book SynopsisTrade Review"The authors give a very detailed introduction to the theory, smoothing out some difficulties by introducing new concepts."--Gerd Faltings, Zentralblatt MATHTable of Contents*Frontmatter, pg. i*Contents, pg. vii*Foreword, pg. ix*Chapter I. Representations of the fundamental group and the torsor of deformations. An overview, pg. 1*Chapter II. Representations of the fundamental group and the torsor of deformations. Local study, pg. 27*Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects, pg. 179*Chapter IV. Cohomology of Higgs isocrystals, pg. 307*Chapter V. Almost etale coverings, pg. 449*Chapter VI. Covanishing topos and generalizations, pg. 485*Facsimile : A p-adic Simpson correspondence, pg. 577*Bibliography, pg. 595*Indexes, pg. 599
£63.75
Taylor & Francis Inc Understanding Group Behavior Volume 1 Consensual
Book SynopsisThe second of two volumes addressing theoretical problems associated with consensual action of task-orientated small groups. Less formal than the first volume, this work tends to be more general in approach focusing on interpersonal relations and social processes within such groups.Trade Review"The field has long been preoccupied by certain topics--decision making, leadership, and performance--and the contents reflect that continuing emphasis. Witte and Davis have done the field a great service in bringing these papers together for publication."—Contemporary PsychologyTable of ContentsVolume 1.Contents: Preface. Part I: Introduction.J.H. Davis, Small-Group Research and the Steiner Questions: The Once and Future Thing. Part II: Social Aggregation and Combination Models.H.W. Crott, J. Werner, C. Hoffmann, A Probabilistic Model of Opinion Change Considering Distance Between Alternatives: An Application to Mock Jury Data. J.H. Davis, Group Decision Making and Quantitative Judgments: A Consensus Model. P.R. Laughlin, Group Decision Making and Collective Induction. R.S. Tindale, C.M. Smith, L.S. Thomas, J. Filkins, S. Sheffey, Shared Representations and Asymmetric Social Influence Processes in Small Groups. N.L. Kerr, R.J. MacCoun, G.P. Kramer, "When are N Heads Better (or Worse) Than One?": Biased Judgment in Individuals Versus Groups. T. Kameda, Procedural Influence in Consensus Formation: Evaluating Group Decision Making From a Social Choice Perspective. Part III: Social Information-Processing Models.G. Stasser, S.I. Vaughan, Models of Participation During Fact-to-Face Unstructured Discussion. B. Latané, Strength From Weakness: The Fate of Opinion Minorities in Spatially Distributed Groups. D. Gigone, R. Hastie, The Impact of Information on Group Judgment: A Model and Computer Simulation. E.H. Witte, The Extended Group Situation Theory (EGST): Explaining the Amount of Change. S. Galam, When Humans Interact Like Atoms. J.H. Davis, Concluding Remarks. Volume 2.Contents: Preface. Part I: Introduction.E.H. Witte, Small-Group Research and the Crisis of Social Psychology: An Introduction. Part IIGroup Structure and Composition.R.L. Moreland, J.M. Levine, M.L. Weingert, Creating the Ideal Group: Composition Effects at Work. W. Stroebe, M. Diehl, G. Abakoumkin, Social Compensation and the Köhler Effect: Toward a Theoretical Explanation of Motivation Gains in Group Productivity. H.A.M. Wilke, Status Congruence in Small Groups. J.C. Jesuino, Leadership: Micro-Macro Links. W. Scholl, Effective Teamwork -- A Theoretical Model and a Test in the Field. M. von Cranach, Toward a Theory of the Acting Group. Part III: Interpersonal Influence, Conflict, and Resolution.J.A. Pérez, G. Mugny, The Conflict Elaboration Theory of Social Influence. D. Frey, S. Schulz-Hardt, D. Stahlberg, Information Seeking Among Individuals and Groups and Possible Consequences for Decision Making in Business and Politics. M.A. Hogg, Social Identity, Self-Categorization, and the Small Group. J.M. Rabbie, H.F.M. Lodewijkx, A Behavioral Interaction Model: Toward an Integrative Theoretical Framework for Studying Intra- and Intergroup Dynamics. E.H. Witte, Similarities Among Various Conceptual Positions and Theoretical Points of View.
£84.99
Taylor & Francis Inc Time and Intimacy A New Science of Personal
Book SynopsisThere is a mysterious connection between our experiences of intimacy--of love, the longing to feel connected, and sexual embrace--and the human sense of time--eternity, impermanence, and rhythm. In this critical analysis of the time-intimacy equation, Bennett shows how the scientific study of personal relationships can address this mystery. As a study of transpersonal science, this book points to the possible evolution of intimacy and of our consciousness of time, and how the two evolutionary paths weave together. Dr. Bennett draws from a wide array of resources to advance and marry two compelling themes: first, the social and clinical science of personal relationships should integrate the spiritual or transpersonal dimension of intimacy, and second, science can contribute to lay understandings by describing the richly temporal aspects of relationships. In blending popular literature, transpersonal psychology, and scientific research and theory, this work also attempts to addrTrade Review"Joel Bennett's Time and Intimacy talks about intimacy in a way that recreates the feeling of intimacy, and recapitulates his vision of an intimate interaction through the structure of the book itself. Just as intimate interactions provide a sense of transcending time even as they can only be understood within a temporary trajectory, Bennett's prose, by refusing linearity and traditional scientific discourse, recapitulates the felt sense of an intimate interaction through its poetic style. Time and Intimacy is a book that can be opened anywhere and enjoyed, as it is composed of many loosely woven strands pulled together graphically and sometimes metaphorically. When it is opened spontaneously and absorbed in bursts, with full attention given to the language itself, it can be appreciated like poetry. Unlike poetry, however, Bennett's work has woven within it references to the latest research on close relationships. For readers who believe that the structure of the text should speak to the subject matter of that text, there is much experimentation with textual structure to be discovered in Time and Intimacy. Language alternates in unpredictable ways between the poetic and the philosophical, between the scientific and the transpersonal, between the objective and the subjective. Much as an intimate conversation itself might, the book invites the reader to transcend the ordinary boundaries of academic disciplines and to think about intimate experience in language that goes beyond ordinary discourse."—Karen PragerUniversity of Texas, Dallas"This book delves deeply and reveals to the reader a rich and new way to look at the realm of relationships. Simultaneously exploring time and intimacy creates a profound shift in our understanding of how people relate. In a modern era that views time as a commodity, intimacy is often lost as relationship suffers. Joel Bennett provides a brilliant approach to a very important subject--well worth any reader's time."—Stephan Rechtschaffen, MDAuthor, Time Shifting: Creating More Time to Enjoy Your Life; Cofounder and CEO,"Bennett has done an extraordinary job of combining three forms of reflection to treat the topic of intimacy. The integration of three themes--quantitative psychology research, transpersonal depth psychology, and temporality/transcendence--constitutes the unique contribution of this book. Time and Intimacy: A New Science of Personal Relationships presents a hypothesis for further reflection in psychology, and it organizes a whole field of research for study. Most important, it deals sensitively with a very important topic."—Robert Cummings NevilleDean, School of Theology, Boston UniversityTable of ContentsContents: S. Duck, Series Editor's Foreword. Preface. Introduction. Intimacy as a Journey Through This Text: Time and Change From Transcription to Transcendence. Unfolding in Time: Intimacy Across Situations. The Forces of Time: The Process of Intimacy. Time, Addiction, and Intimacy: Scripts, Archescripts, & Holoscripts. Temporal Context in Love and Science: The Weave of Temporal Sensitivity. In Search of the Temporal in Personal Relationship Research: From Temporal Initiative to Temporal Scale. Theories of Personal Relationships and the Contextual Model. Summary and Integration: Toward a Transpersonal Science. Appendix.
£135.00
Taylor & Francis Inc Explaining Communication Contemporary Theories
Book SynopsisOffering a direct sightline into communication theory, Explaining Communication provides in-depth discussions of communication theories by some of the foremost scholars working in communication today. With contributions from the original theorists and scholars known for their work in specific theoretical perspectives, this distinctive text breaks new ground in giving these scholars the opportunity to address students firsthand, speaking directly to the coming generations of communication scholars.Covering a wide range of interpersonal communication theories, the scope of this exceptional volume includes:*the nature of theory and fundamental concepts in interpersonal communication;*theories accounting for individual differences in message production; explanations of human communication from dyadic, relational, and/or cultural levels; and*a history of communication theory. Chapter authors offer their own views of the core ideas and findings of specific theoretical perspectives, discussing the phenomena those perspectives are best positioned to explain, how the theories fit into the field, and where future research efforts are best placed. While by no means comprehensive, Explaining Communication includes those theories that rank among those most often used in todayâs work, that have generated a substantial body of knowledge over time, and that have not been articulated in detail in other publications.With detailed explorations and first-hand discussions of major communication theories, this volume is essential for students in communication studies, interpersonal communication, and advanced theory courses, as well as for scholars needing a thorough reference to some of the most salient theories in communication today.Trade Review'This volume... is so chock-full of theories that it made my head spin... I was glad that I was able to widen my thinking with topics I knew nothing about.' - Luciano L'Abate, PsycCRITIQUESTable of ContentsContents: Preface. S.W. Littlejohn, The Nature and Evaluation of Theory. K. Tracy, Discourse and Identity: Language or Talk? W.A. Afifi, Nonverbal Communication. C. Pavitt, Impression Formation. S.R. Wilson, Communication Theory and the Concept of “Goal”. B.R. Burleson, Constructivism: A General Theory of Communication Skill. A. Rancer, A.M. Nicotera, Aggressiveness Communication. C.R. Berger, Plans, Planning, and Communication Effectiveness. J.O. Greene, Formulating and Producing Verbal and Nonverbal Messages: An Action Assembly Theory. A.S. Babrow, Problematic Integration Theory. D.E. Brashers, A Theory of Communication and Uncertainty Management. D. Goldsmith, Brown and Levinson’s Politeness Theory. M. Cody, D. Dunn, Accounts. M.C. Morr, S. Petronio, Communication Privacy Management Theory. L. Baxter, D.O. Braithwaite, Social Dialectics: The Contradictions of Relating. H. Giles, T. Ogay, Communication Accommodation Theory. J. Courtright, Relational Communication: As Viewed from the Pragmatic Perspective. W.A. Beach, Conversational Interaction: Understanding How Family Members Talk Through Cancer. F.H. van Eemeren, Pragma-Dialectical Theory of Argumentation. S.L. Faulkner, M.L. Hecht, Tides in the Ocean: A Layered Approach to Communication and Culture. J. Bryant, D. Miron, Historical Contexts and Trends in Development of Communication Theory.
£237.34
Taylor & Francis Inc Maintaining Relationships Through Communication
Book SynopsisRelational maintenance provides a rallying point for those seeking to discover the behaviors that individuals utilize to sustain their personal relationships. Theoretical models, research programs, and specific studies have examined how people in a variety of close relationships choose to define and maintain those relationships. In addition, relational maintenance turns our attention to communicative processes that help people sustain their close relationships. In this collection, editors Daniel J. Canary and Marianne Dainton focus on the communicative processes critical to the maintenance and enhancement of personal relationships. The volume considers variations in maintaining different types of personal relationships; structural constraints on relationship maintenance; and cultural variations in relational maintenance. Contributions to the volume cover a broad range of relational types, including romantic relationships, family relationships, long-distance relationships, workplace relationships, and Gay and Lesbian relationships, among others. Maintaining Relationships Through Communication: Relational, Contextual, and Cultural Variations synthesizes current research in relationship maintenance, emphasizes the ways that behaviors vary in their maintenance functions across relational contexts, discusses alternative explanations for maintaining relationships, and presents avenues for future research. As such, it is intended for students and scholars studying interpersonal communication and personal relationships.Table of ContentsChapter 1 Definitions and Perspectives on Relational Maintenance Communication, Kathryn Dindia; Part 1 Maintaining Different Types of Relationships; Chapter 2 Maintaining Family Relationships, Sally Vogl-Bauer; Chapter 3 Maintaining Romantic Relationships: A Summary and Analysis of One Research Program, Laura Stafford; Chapter 4 Maintaining Friendships Throughout the Lifespan, Marianne Dainton, Elaine Zelley, Emily Langan; Chapter 5 Maintaining Undesired Relationships, Jon A. Hess; Part 2 Contextual Variations in Maintaining Relationships; Chapter 6 Maintaining Long-Distance Relationships, Brooks A. Aylor; Chapter 7 Computer-Mediated Communication Effects on Relationship Formation and Maintenance, Michael K. Rabby, Joseph B. Walther; Chapter 8 Relationship Maintenance in Organizational Settings, Vincent R. Waldron; Chapter 9 When Part ners Falter: Repair After a Transgression, Tara M. Emmers-Sommer; Part 3 Cultural Variations in Maintaining Relationships; Chapter 10 Relationship Maintenance in Same-Sex Couples, Stephen M. Haas; Chapter 11 Relationship Maintenance in Intercultural Couples: An Interdependence Analysis, Stanley O. Gaines, Jr., Christopher R. Agnew; Chapter 12 Maintaining Marriages in Russia: Managing Societal Influences and Communication Dynamics, Deborah S. Ballard-Reisch, Marat Zaguidoulline, Daniel J. Weigel; Chapter 13 Maintaining Relationships in Korea and the United States: Features of Korean Culture that Affect Relational Maintenance Beliefs and Behaviors, Young-Ok Yum, Daniel J. Canary; Part 4 Epilogue; Chapter 14 Framing the Maintenance of Relationships Through Communication: An Epilogue, Marianne Dainton;
£49.99
Taylor & Francis Inc Stereotype Dynamics LanguageBased Approaches to
Book SynopsisThis volume addresses the role of communication in stereotype dynamics, while placing the phenomenon of social stereotypes appropriately in the socio-cultural context.Trade Review"I think it is critically important for social psychologists to focus more on the influence of language and communication across the areas within the discipline, and I believe this volume will stand as a milestone in the movement of social psychology back to studying human interaction." - David Roskos-Ewoldsen, Ph.D., University of Alabama"The authors are all outstanding ... The chapters are timely and important." - Charles Stangor, Ph.D., University of Maryland"… Kashima et al. achieve their goals for this volume… The reader is left with a new appreciation for the social nature of stereotyping, as well as an awareness of the limitations of a strict social cognition perspective… I would recommend this volume for the editors’ intended audience of advanced scholars and students in social psychology, linguistics, and communication." – Matthew L. Newman, PsycCRITIQUES“I think it is critically important for social psychologists to focus more on the influence of language and communication across the areas within the discipline, and I believe this volume will stand as a milestone in the movement of social psychology back to studying human interaction.” —David Roskos-Ewoldsen, Ph.D . University of Alabama“The authors are all outstanding...The chapters are timely and important.” —Charles Stangor, Ph.D. University of MarylandTable of ContentsY. Kashima, K. Fiedler, P. Freytag, Stereotype Dynamics: An Introduction and Overview. Part 1. Stereotype Dynamics.G. Semin, Stereotypes in the Wild. V. Yzerbyt, A. Carnaghi, Stereotype Change in the Social Context. A. Lyons, A. Clark, Y. Kashima, T. Kurz, Cultural Dynamics of Stereotyping. Part 2. Symbolic Mediation and Stereotyping.K. Fiedler, M. Blümke, P. Freytag, S. Koch, C. Unkelbach, A Semiotic Approach to Understanding the Role of Communication in Stereotyping. A. Carnaghi, A. Maass, Derogatory Language in Intergroup Context: Are “Gay” and “Fag” Synonymous? S. Sczesny, J. Bosak, A.B. Diekman, J. Twenge, Dynamics of Sex Role Stereotypes. Part 3. Stereotype and Language Use.C. Wenneker, D. Wigboldus, Interpersonal Consequences and Intrapersonal Underpinnings of the Linguistic Expectancy Bias. K.M. Douglas, R.M. Sutton, C. McGarty, Strategic Language Use in Interpersonal and Intergroup Communication. P. Freytag, Sender-Receiver-Constellations as a Moderator of Linguistic Abstraction Biases. Part 4. Stereotype Sharedness and Distinctiveness.M. Karasawa, S. Suga, Retention and Transmission of Socially Shared Beliefs: The Role of Linguistic Abstraction in Stereotypic Communication. O. Klein, S. Tindale, M. Brauer, The Consensualization of Stereotypes in Small Groups. F. Pratto, P.J. Hegarty, J.D. Korchmaros, How Communication Practices and Category Norms Lead People to Stereotype Particular People and Groups. Part 5. Identity, Self-Regulation, and Stereotyping.M. Hornsey, Intergroup Sensitivity Effect: Responses to Criticisms of Groups. R.M. Sutton, K.M. Douglas, T.J. Elder, M. Tarrant, Social Identity and Social Convention in Responses to Criticisms of Groups. J. Keller, H. Bless, Communicating Stereotype Expectancies: The Interplay of Stereotype Threat and Regulatory Focus.
£145.00
Taylor & Francis Inc Self Continuity
Book SynopsisThis volume is the first to bring together the fast-growing research on self-continuity from multiple perspectives within and beyond social psychology.The book covers individual and collective aspects of self-continuity, while a final section explores the relationship between these two forms. Topics include environmental and cultural influences on self-continuity; the interplay of autobiographical memory and personal self-continuity; the psychological function of self-continuity; personal and collective self-continuity; and resistance to change. The volume is rounded off with commentaries on the central issues and themes that have been discussed.The book provides a unique sourcebook for this important topic and will appeal not only to upper-level students and researchers in social psychology, but, in view of the multiple perspectives represented in the volume, it will also appeal to cognitive, developmental, and personality psychologists.Table of ContentsF. Sani, Introduction. PART 1: CULTURAL AND SOCIETAL DIMENSIONS OF SELF-CONTINUITY. K. Nelson, Self in Time: Emergence Within a Community of Minds. R.W. Tafarodi, Toward a Cultural Phenomenology of Personal Identity. PART 2: SELF-CONTINUITY, AUTOBIOGRAPHICAL MEMORY, AND IDENTITY. A. Bird & E. Reese, Autobiographical Memory in Childhood and the Development of a Continuous Self. S. Bluck & N. Alea, Remembering Being Me: The Self-continuity Function of Autobiographical Memory in Younger and Older Adults. D. Addis & L.J. Tippett, The Contributions of Autobiographical Memory to the Content and Continuity of Identity: A Social-cognitive Neuroscience Approach. PART 3: SELF-CONTINUITY MOTIVES AND MAINTENANCE STRATEGIES. M.J. Landau, J. Greenberg, S. Solomon, The Never-ending Story: A Terror Management Perspective on the Psychological Function of Self-continuity. C.T. Burris, J.K. Rempel, Spanning Time: An Amoebic-Self Perspective. PART 4: THE CONTINUITY OF GROUPS AND COLLECTIVE SELVES. D.L. Hamilton, J.M. Levin, J.A. Thurston, Perceiving Continuity and Change in Groups. R. Fivush, J.G. Bohanek, & M. Duke, The Intergenerational Self: Subjective Perspectives and Family History. S. Reicher, Making a Past Fit for the Future: The Political and Ontological Dimensions of Historical Continuity. F. Sani, M. Bowe, & M. Herrera, Perceived Collective Continuity: Seeing Groups as Temporally Enduring Entities. PART 5: COLLECTIVE SELF-CONTINUITY IN A TIME OF CHANGE. D. van Knippenberg, B. van Knippenberg, & A. Bobbio, Leaders as Agents of Continuity: Self-continuity and Resistance to Collective Change. A. Iyer, J. Jetten, & D. Tsivrikos, Torn Between Identities: Predictors of Adjustment to Identity Change. PART 6: THE INTERPLAY BETWEEN INDIVIDUAL AND COLLECTIVE SELF-CONTINUITY. M. Nolan & N. Branscombe, Conceptions of the Human Self and Human Rights: Implications for the Psychological Continuity of Less Inclusive Selves. M.J. Chandler & T. Proulx, Personal Persistence and Persistent Peoples: Continuities in the Lives of Individual and Whole Cultural Communities. C. Sedikides, T. Wildschut, L. Gaertner, C. Routledge, & J. Arndt, Nostalgia as Enabler of Self-continuity. PART 7: COMMENTARIES. P. Rochat, "Know Thyself!", but What, How, and Why? R. Spears, Commenting on Continuity: A View from Social Psychology.
£128.25
Taylor & Francis Inc Handbook of Relationship Initiation
Book SynopsisThe Handbook of Relationship Initiation is the first volume to focus specifically on the very beginning stage of relationships â their origin. In this Handbook, leading scholars on relationships review the literature on various processes related to the initiation of relationships: how people meet, communicate for the first time, and begin to define themselves as being in a relationship. Topics include attraction, mate selection, influence of social networks on relationship initiation, initiation over the internet, hook-ups among young adults, and flirting and opening gambits. In addition, the dark side of relationship initiation is considered, including unwanted relationship pursuit and barriers to relationship initiation including social anxiety.This volume provides an overdue synthesis of the literature on this topic. It is especially timely in view of the growing prevalence on relationship initiation online, through matchmaking and other social networking sites, which has increased awareness that science can be used to understand, create, and facilitate compatible matching.This Handbook provides an essential resource for an interdisciplinary range of researchers and students who study relationships, including social psychologists, communication scientists and scholars of marriage and the family.Trade Review"I am somewhat chagrined to find that after 20 years in the field, I found a great deal that I did not know regarding relationship initiation. ... I strongly suspect that this latest work will be an instant classic. ... I highly recommend the handbook for relationship scholars from a variety of disciplines. It is also appropriate for graduate students and upper level undergraduates." - Gregory D. Morrow, Edinboro University of Pennsylvania, in PsycCRITIQUESTable of ContentsPart 1. Introduction. S. Sprecher, A. Wenzel, J. Harvey, Preface. C. A. Bredow, R. M. Cate, T. L. Huston, Have We Met Before? A Conceptual Model of First Romantic Encounters. B. Fehr, Friendship Formation. D. P. Schmitt, An Evolutionary Perspective on Mate Choice and Relationship Initiation. G. Creasey, P. Jarvis, Attachment Theory and Research: A Special Focus on Relationship Initiation. Part 2. The Process of Relationship Initiation. M. R. Cunningham, A. P. Barbee, Prelude to a Kiss: Nonverbal Flirting, Opening Gambits, and Other Communication Dynamics in the Initiation of Romantic Relationships. L. K. Knoblock, L. E. Miller, Uncertainty and Relationship Initiation. W. A. Afifi, A. A. Lucas, Information Seeking in Initial Stages of Relational Development. V. J. Derlega, B. A. Winstead, K. Greene, Self-Disclosure and Starting a Close Relationship. L. K. Guerrero, P. A. Mongeau, On Becoming "More than Friends": The Transition from Friendship to Romantic Relationship. Part 3. Diverse Contexts of Relationship Initiation. X. B. Arriaga, C. R. Agnew, N. M. Capezza, J. J. Lehmiller, The Social and Physical Environment of Relationship Initiation: An Interdependence Analysis. P. W. Eastwick, E. J. Finkel, Speed-Dating: A Powerful and Flexible Paradigm for Studying Relationship Initiation. K. Y. A. McKenna, MySpace or Your Place: Relationship Initiation and Development in the Wired and Wireless World. S. Sprecher, P. Schwartz, J. Harvey, E. Hatfield, Thebusinessoflove.com: Relationship Initiation at Internet Matchmatching Services. Part 4. Attraction and Other Emotions in Relationship Initiation. J. W. Bruce, W. G. Graziano, Attraction and the Initiation of Relationships: A Review of the Empirical Literature. S. Sprecher, D. Felmlee, Insider Perspectives to Attraction. A. Aron, H. E. Fisher, G. Strong, B. Acevedo, S. Riela, I. Tsapelas, Falling in Love. S. S. Hencrick, C. Hendrick, Satisfaction, Love, and Respect in the Initiation of Romantic Relationships. S. Metts, S. L. Mikucki, The Emotional Landscape of Relationship Initiation. Part 5. Challenges and Problematic Relationship Initiation. E. L. Paul, A. Wenzel, J. H. Harvey, Hookups: A Facilitator or a Barrier to Relationship Initiation and Intimacy Development? M. A. Fine, T. A. Coffelt, L. N. Olson, Romantic Relationship Initiation following Relationship Dissolution. W. R. Cupach, B. H. Spitzberg, "Thanks, but No Thanks…." The Occurrence and Management of Unwanted Relationship Pursuit. A. Wenzel, T. B. Kashdan, Emotional Disturbances and the Initial Stages of Relationship Development: Processes and Consequences of Social Anxiety and Depression. Part 6. Cognitions, Beliefs, and Memories About Relationship Initiation. L. Custer, D. Holmberg, K. Blair, T. L. Orbuch, "So How Did You Two Meet?": Narratives of Relationship Initiation. C. R. Knee, A. L. Bush, Relationship Beliefs and Their Role in Relationship Initiation. S. Tran, J. A. Simpson, G. J. O. Fletcher, The Role of Ideal Standards in Relationship Initiation Processes. G. D. Reeder, Perceptions of Goals and Motives in Romantic Relationships. Part 7. Commentary. D. Perlman, Ending the Beginning of Relationships.
£135.00
Taylor & Francis Ltd Social Identities: Motivational, Emotional,
Book SynopsisThe concept of social identity occupies a central position in contemporary social psychology. Social Identities: Motivational, Emotional, Cultural Influences reports recent developments in the analysis of motivational and affective aspects of social identity processes. The book also examines the cross-cultural generality of Social Identity Theory explanations of intergroup competitiveness, which have strongly influenced international research in this area. People’s social identities and self-evaluation are thought to be largely derived from group memberships; it is presumed that people are motivated to attain positivity in these identities by favouring the ingroup in intergroup comparisons. An increasing stream of research is being devoted to extending the applicability of social identity concepts to intergroup relations and related fields.The editors present here a collection of contributions from leading figures in social psychology which explore the state of the art in social identity theory. The most prominent motivational theories of identification are reported. Central themes concern: motivations which lead individuals to join a group and identify with it the role emotions have in favouring (or hindering) intergroup relations the effect of emotions on intergroup behaviour how people react to social identity threats Shedding new light on important social problems like prejudice, bigotry, and intense conflicts around the world, this unique volume will be indispensable to students and researchers of social psychology, sociology and cultural studies.Trade Review"This book provides an impressive collection of contributions addressing some of the most exciting work that is being done in this area. By extending our insight into the role of motivation, culture, and emotions in social identity, it provides a unique resource for those interested in gaining in-depth knowledge of social identities." - Naomi Ellemers, Professor of Social and Organizational Psychology, Leiden University"This volume testifies that Social Identity Theory continues to raise fascinating questions, even if some answers appear controversial. The chapters, well organized, examine a myriad of intriguing problems. Moreover, statements and conclusions may contribute to heated debates in advanced seminars." - Jacques-Philippe Leyens, Université Catholique de Louvain, Louvain-la-Neuve.'This book provides an impressive collection of contributions addressing some of the most exciting work that is being done in this area. By extending our insight into the role of motivation, culture, and emotions in social identity, it provides a unique resource for those interested in gaining in-depth knowledge of social identities.' - Naomi Ellemers, Professor of Social and Organizational Psychology, Leiden University'This volume testifies that Social Identity Theory continues to raise fascinating questions, even if some answers appear controversial. The chapters, well organized, examine a myriad of intriguing problems. Moreover, statements and conclusions may contribute to heated debates in advanced seminars.' - Jacques-Philippe Leyens, Université Catholique de Louvain, Louvain-la-Neuve.Table of ContentsIntroduction. Motivational, Emotional and Cultural Influences in Social Identity Processes. Part 1: Motivation, Identification and Intergroup Relations. Self-Conceptual Uncertainty and the Lure of Belonging. A Comparison of Motivational Theories of Identification. Extending the Self in Space and Time: Social Identification and Existential Concerns. Living on the Edge: Dynamics of Intragroup and Intergroup Rejection Experiences. Protecting a Threatened Identity through Sexual Harassment: A Social Identity Interpretation. Part 2: Cultural and Evolutionary Aspects of Ingroup Identification. Social Identity Motives in Evolutionary Perspective. Social Identity Theory in Cross-Cultural Perspective. Part 3: Emotions in Intergroup Relations. It’s About Time: Intergroup Emotions as Time-Dependent Phenomena. Connecting Social Identity Theory and Cognitive Appraisal Theory of Emotions. Intergroup Contact and the Promotion of Intergroup Harmony: The Influence of Intergroup Emotions. Emotional Antecedents and Consequences of Common Ingroup Identity. Intergroup Contact and Levels of Categorization: Effects on Intergroup Emotions.
£123.50
Springer International Publishing AG Hypergroups
Book SynopsisThis book provides a comprehensive algebraic treatment of hypergroups, as defined by F. Marty in 1934. It starts with structural results, which are developed along the lines of the structure theory of groups. The focus then turns to a number of concrete classes of hypergroups with small parameters, and continues with a closer look at the role of involutions (modeled after the definition of group-theoretic involutions) within the theory of hypergroups. Hypergroups generated by involutions lead to the exchange condition (a genuine generalization of the group-theoretic exchange condition), and this condition defines the so-called Coxeter hypergroups. Coxeter hypergroups can be treated in a similar way to Coxeter groups. On the other hand, their regular actions are mathematically equivalent to buildings (in the sense of Jacques Tits). A similar equivalence is discussed for twin buildings. The primary audience for the monograph will be researchers working in Algebra and/or Algebraic Combinatorics, in particular on association schemes.Table of Contents1 Basic Facts : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 11.1 Neutral Elements and Inverse Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.2 Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31.3 Complex Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61.4 Thin Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91.5 Groups and Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.6 Actions of Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131.7 Hypergroups Admitting Regular Actions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181.8 Association Schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222 Closed Subsets : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 272.1 Basic Facts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272.2 Dedekind Modularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 322.3 Generating Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 332.4 Commutators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372.5 Conjugation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 382.6 The Thin Radical . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 412.7 Foldings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 423 Elementary Structure Theory: : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 473.1 Centralizers and Normalizers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 473.2 Su cient Conditions for Normality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 523.3 Strong Normality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 553.4 Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 593.5 Computations in Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 633.6 Homomorphisms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 663.7 The Homomorphism Theorem and the Isomorphism Theorems . . . . . . . . . . 714 Subnormality and Thin Residues : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 794.1 Subnormal Chains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 794.2 Composition Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 834.3 The Thin Residue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 884.4 Thin Residues of Thin Residues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 914.5 Residually Thin Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 944.6 Finite Residually Thin Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 974.7 Solvable Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1045 Tight Hypergroups : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 1075.1 Tight Hypergroup Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1075.2 The Set S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1115.3 The Sets a b \ Fc and Sa;b(Fc) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1135.4 The Sets bf1b \ Fa and Sb;(f1;:::;fn)(Fa) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1175.5 Structure Constants of Finite Tight Hypergroups . . . . . . . . . . . . . . . . . . . . . 1225.6 Rings Arising from Certain Finite Tight Hypergroups . . . . . . . . . . . . . . . . . 1265.7 Finite Metathin Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1285.8 Finite Metathin Hypergroups with Restricted Thin Residue . . . . . . . . . . . . 1326 Involutions : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 1376.1 Basic Facts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1386.2 Cosets of Closed Subsets Generated by an Involution, I . . . . . . . . . . . . . . . . 1426.3 Cosets of Closed Subsets Generated by an Involution, II . . . . . . . . . . . . . . . 1456.4 Cosets of Closed Subsets Generated by an Involution, III . . . . . . . . . . . . . . . 1476.5 Length Functions De ned by Sets of Involutions . . . . . . . . . . . . . . . . . . . . . . 1526.6 Hypergroups Generated by Two Distinct Involutions . . . . . . . . . . . . . . . . . . 1566.7 Dichotomy and the Exchange Condition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1616.8 Projective Hypergroups. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1647 Hypergroups with a Small Number of Elements : : : : : : : : : : : : : : : : : : : : : : 1717.1 Hypergroups of Cardinality at Most 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1727.2 Non-Symmetric Hypergroups of Cardinality 4 . . . . . . . . . . . . . . . . . . . . . . . . 1797.3 Hypergroups of Cardinality 6 with a Non-Normal Closed Subset, I . . . . . . 1907.4 Hypergroups of Cardinality 6 with a Non-Normal Closed Subset, II . . . . . . 2027.5 Non-Normal Closed Subsets Missing Four Elements . . . . . . . . . . . . . . . . . . . 2157.6 Non-Normal Closed Subsets Missing Four Elements and Thin Elements . . 2218 Constrained Sets of Involutions : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 2238.1 Basic Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2248.2 Constrained Sets of Involutions and Cosets . . . . . . . . . . . . . . . . . . . . . . . . . . . 2288.3 Constrained Sets of Involutions and the Thin Radical . . . . . . . . . . . . . . . . . . 2308.4 Constrained Sets of Involutions and Dichotomy . . . . . . . . . . . . . . . . . . . . . . . 2338.5 Constrained Sets of Non-Thin Involutions and Dichotomy . . . . . . . . . . . . . . 2398.6 Constrained Sets of Involutions and Foldings . . . . . . . . . . . . . . . . . . . . . . . . . 2448.7 Dichotomic Constrained Sets of Involutions and Foldings . . . . . . . . . . . . . . . 2489 Coxeter Sets of Involutions : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 2519.1 General Observations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2529.2 The Sets V1(U) for Subsets U of Coxeter Sets V of Involutions . . . . . . . . . . 2569.3 The Sets V����1(U) for Subsets U of Coxeter Sets V of Involutions . . . . . . . . . 2639.4 Sets of Subsets of Coxeter Sets of Involutions . . . . . . . . . . . . . . . . . . . . . . . . . 2659.5 Spherical Coxeter Sets of Involutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2689.6 Subsets of Spherical Coxeter Sets of Involutions . . . . . . . . . . . . . . . . . . . . . . . 2739.7 Coxeter Sets of Involutions and Foldings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2779.8 Coxeter Sets of Involutions and Their Coxeter Numbers . . . . . . . . . . . . . . . . 2809.9 Coxeter Sets of Involutions and Type Preserving Bijections . . . . . . . . . . . . . 28610 Regular Actions of (Twin) Coxeter Hypergroups: : : : : : : : : : : : : : : : : : : : : 29310.1 Buildings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29310.2 Twin Buildings, I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29810.3 Twin Buildings, II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30110.4 Regular Actions of Coxeter Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30510.5 Regular Actions of Twin Coxeter Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . 315References : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 333
£107.99
Springer Maximal Solvable Subgroups of Finite Classical
Book Synopsis- Introduction.- Basic structure of maximal irreducible solvable subgroups.- Extraspecial groups.- Metrically primitive maximal irreducible solvable subgroups.- Basic properties of GB ,?(X1, . . . ,Xk).- Fixed point spaces and abelian subgroups.- Maximality of the groups constructed.- Examples.
£55.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Group Theory: Application to the Physics of
Book SynopsisThis concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.Trade ReviewFrom the reviews:"It was developed for a graduate course taught mostly by Millie Dresselhaus at MIT for more than 30 years, with many revisions of lecture notes. Very much a graduate text or specialist monograph, the book covers a wealth of applications across solid-state physics. … The book can be warmly recommended to students and researchers in solid-state physics, either to serve as a text for an advanced lecture course or for individual study … ." (Volker Heine, Physics Today, November, 2008)"This textbook is based on the authors’ pedagogical experience during their 30 years at MIT. … the book develops all of the relevant mathematics (linear algebra) and the necessary physics (quantum mechanics), it is eminently suitable to a wide audience in physics, chemistry and materials science." (Barry R. Masters, Optics and Photonics News, July/August, 2009)“This is an excellent text … . originates from lectures by Charles Kittel and J. H. van Vleck in the 1950s and much of the material was presented in courses by the authors over the last three decades. The material is meant for Electrical Engineering and Physics students at the graduate level … . has exercises at the end of each chapter and an extensive set of appendices. The exposition is clear and detailed. This is a very good book for its target audience.” (W. Miller Jr., Zentralblatt MATH, Vol. 1175, 2010)“The goal of the book under review is to teach group theory in close connection to applications. … Every chapter of the book finishes with several selected problems. Specific to this book is the feature that every abstract theoretical group concept is introduced and applied in a concrete physical way. This is why the book is very useful for anyone interested in applications of group theory to the wide range of condensed matter phenomena.” (Oktay K. Pashaev, Mathematical Reviews, Issue 2010 i)“It is highly welcomed because of its well-thought structuring and the plenty of non-trivial examples. The authors develop those parts of the theory of groups which are interesting for physicists, from chapter to chapter offering nearly at any step one or more informative application.” (G. Kowol, Monatshefte für Mathematik, Vol. 157 (2), June, 2009)Table of ContentsBasic Mathematics.- Basic Mathematical Background: Introduction.- Representation Theory and Basic Theorems.- Character of a Representation.- Basis Functions.- Introductory Application to Quantum Systems.- Splitting of Atomic Orbitals in a Crystal Potential.- Application to Selection Rules and Direct Products.- Molecular Systems.- Electronic States of Molecules and Directed Valence.- Molecular Vibrations, Infrared, and Raman Activity.- Application to Periodic Lattices.- Space Groups in Real Space.- Space Groups in Reciprocal Space and Representations.- Electron and Phonon Dispersion Relation.- Applications to Lattice Vibrations.- Electronic Energy Levels in a Cubic Crystals.- Energy Band Models Based on Symmetry.- Spin–Orbit Interaction in Solids and Double Groups.- Application of Double Groups to Energy Bands with Spin.- Other Symmetries.- Time Reversal Symmetry.- Permutation Groups and Many-Electron States.- Symmetry Properties of Tensors.
£56.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG p-Adic Lie Groups
Book SynopsisManifolds over complete nonarchimedean fields together with notions like tangent spaces and vector fields form a convenient geometric language to express the basic formalism of p-adic analysis. The volume starts with a self-contained and detailed introduction to this language. This includes the discussion of spaces of locally analytic functions as topological vector spaces, important for applications in representation theory. The author then sets up the analytic foundations of the theory of p-adic Lie groups and develops the relation between p-adic Lie groups and their Lie algebras. The second part of the book contains, for the first time in a textbook, a detailed exposition of Lazard's algebraic approach to compact p-adic Lie groups, via his notion of a p-valuation, together with its application to the structure of completed group rings.Trade ReviewFrom the reviews:“The book is divided into two parts … . The author’s style of writing is elegant … . this is a demanding book, but a rewarding one … . any person who intends to work in this area will want to have it close at hand.” (Mark Hunacek, The Mathematical Gazette, Vol. 98 (541), March, 2014)“This book presents the foundations of the theory of p-adic Lie groups in a systematic and self-contained way. … Schneider’s book on p-adic Lie groups systematically develops the analytic theory of p-adic Lie groups and also Lazard’s algebraic approach to p-adic Lie groups. It is highly recommended.” (Dubravka Ban, Mathematical Reviews, Issue 2012 h)“The notion of a p-adic Lie group has been around for a while, but they have recently become more prominent in number theory and representation theory. … Schneider’s Grundlehren volume is an attempt to fill that gap by giving a systematic treatment of the subject. … this is a book to be welcomed and studied carefully by anyone who wants to learn about p-adic Lie theory.” (Fernando Q. Gouvêa, The Mathematical Association of America, August, 2011)“The book thoroughly discusses the analytic aspects of p-adic manifolds and p-adic lie groups. … this clearly written book by Schneider will be very useful … to all those interested learning the basic theory of p-adic groups or about the completed group ring of a p-adic group with number theoretical applications in mind.” (Bala Sury, Zentralblatt MATH, Vol. 1223, 2011)Table of ContentsIntroduction.- Part A: p-Adic Analysis and Lie Groups.- I.Foundations.- I.1.Ultrametric Spaces.- I.2.Nonarchimedean Fields.- I.3.Convergent Series.- I.4.Differentiability.- I.5.Power Series.- I.6.Locally Analytic Functions.- II.Manifolds.- II.7.Charts and Atlases.- II.8.Manifolds.- II.9.The Tangent Space.- II.10.The Topological Vector Space C^an(M,E), part 1.- II.11 Locally Convex K-Vector Spaces.- II.12 The Topological Vector Space C^an(M,E), part 2.- III.Lie Groups.- III.13.Definitions and Foundations.- III.14.The Universal Enveloping Algebra.- III.15.The Concept of Free Algebras.- III.16.The Campbell-Hausdorff Formula.- III.17.The Convergence of the Hausdorff Series.- III.18.Formal Group Laws.- Part B:The Algebraic Theory of p-Adic Lie Groups.- IV.Preliminaries.- IV.19.Completed Group Rings.- IV.20.The Example of the Group Z^d_p.- IV.21.Continuous Distributions.- IV.22.Appendix: Pseudocompact Rings.- V.p-Valued Pro-p-Groups.- V.23.p-Valuations.- V.24.The free Group on two Generators.- V.25.The Operator P.- V.26.Finite Rank Pro-p-Groups.- V.27.Compact p-Adic Lie Groups.- VI.Completed Group Rings of p-Valued Groups.- VI.28.The Ring Filtration.- VI.29.Analyticity.- VI.30.Saturation.- VII.The Lie Algebra.- VII.31.A Normed Lie Algebra.- VII.32.The Hausdorff Series.- VII.33.Rational p-Valuations and Applications.- VII.34.Coordinates of the First and of the Second Kind.- References.- Index.
£999.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Collected Papers - Gesammelte Abhandlungen
Book SynopsisFrom the preface: "Hopf algebras, Hopf fibration of spheres, Hopf-Rinow complete Riemannian manifolds, Hopf theorem on the ends of groups - can one imagine modern mathematics without all this? Many other concepts and methods, fundamental in various mathematical disciplines, also go back directly or indirectly to the work of Heinz Hopf: homological algebra, singularities of vector fields and characteristic classes, group-like spaces, global differential geometry, and the whole algebraisation of topology with its influence on group theory, analysis and algebraic geometry. It is astonishing to realize that this oeuvre of a whole scientific life consists of only about 70 writings. Astonishing also the transparent and clear style, the concreteness of the problems, and how abstract and far-reaching the methods Hopf invented."Trade Review Heinz Hopf (1894-1981) is rightly considered to be one of the outstanding and most influential mathematicians of the XXth century. He was a pioneer in algebraic topology as well as in differential geometry. He is widely known as having studied the ‘Hopf fibration’. The very general abstract notion of Hopf algebra was introduced as tracing in Hopf’s works; he may be considered to have been a forerunner of the creation of homological algebra. He found a noncontractible map of the 3-sphere into the 2-sphere; that result was an essential step towards the concept of ‘Hopf invariant’ and the popularization of the homotopy group notion due to Hurewicz. Heinz Hopf was born in Wroclaw (Breslau), in the then German part of Poland. He studied in his home town, in Heidelberg and in Berlin, visited Göttingen, Princeton University, and finally settled at ETH in Zürich, where he became Weyl’s successor. The Heinz Hopf Selecta published in 1964 contained an important – although far from being complete – part of Hopf’s mathematical production. So this volume presenting Hopf’s collected works is welcome. As one may expect, the organisational achievement by Beno Eckmann, Hopf’s student and friend, is high class. Two important articles are translated from German into English. This book of over 1200 pages featuring 71 items constitutes an essential reference for the development of mathematics during the XXth century. Jean-Paul Pier (Zbl. MATH 980, 01027)Table of ContentsTable of Contents.- List of Publications of Heinz Hopf.- Editor's Preface.- Papers of Heinz Hopf.- Heinz Hopf Selecta.
£52.24
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Algebraic Theory of Locally Nilpotent Derivations
Book SynopsisThis book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations. The author provides a unified treatment of the subject, beginning with 16 First Principles on which the theory is based. These are used to establish classical results, such as Rentschler's Theorem for the plane and the Cancellation Theorem for Curves.More recent results, such as Makar-Limanov's theorem for locally nilpotent derivations of polynomial rings, are also discussed. Topics of special interest include progress in classifying additive actions on three-dimensional affine space, finiteness questions (Hilbert's 14th Problem), algorithms, the Makar-Limanov invariant, and connections to the Cancellation Problem and the Embedding Problem.A lot of new material is included in this expanded second edition, such as canonical factorization of quotient morphisms, and a more extended treatment of linear actions. The reader will also find a wealth of examples and open problems and an updated resource for future investigations.Table of ContentsIntroduction.- 1 First Principles.- 2 Further Properties of LNDs.- 3 Polynomial Rings.- 4 Dimension Two.- 5 Dimension Three.- 6 Linear Actions of Unipotent Groups.- 7 Non-Finitely Generated Kernels.- 8 Algorithms.- 9 Makar-Limanov and Derksen Invariants.- 10 Slices, Embeddings and Cancellation.- 11 Epilogue.- References.- Index.
£999.99
Birkhauser Verlag AG The Geometry of the Word Problem for Finitely
Book SynopsisThe origins of the word problem are in group theory, decidability and complexity. But through the vision of M. Gromov and the language of filling functions, the topic now impacts the world of large-scale geometry. This book contains accounts of many recent developments in Geometric Group Theory and shows the interaction between the word problem and geometry continues to be a central theme. It contains many figures, numerous exercises and open questions.Table of ContentsDehn Functions and Non-Positive Curvature.- The Isoperimetric Spectrum.- Dehn Functions of Subgroups of CAT(0) Groups.- Filling Functions.- Filling Functions.- Relationships Between Filling Functions.- Example: Nilpotent Groups.- Asymptotic Cones.- Diagrams and Groups.- Dehn’s Problems and Cayley Graphs.- Van Kampen Diagrams and Pictures.- Small Cancellation Conditions.- Isoperimetric Inequalities and Quasi-Isometries.- Free Nilpotent Groups.- Hyperbolic-by-free groups.
£22.94
Springer, India, Private Ltd Basic Algebraic Topology and its Applications
Book SynopsisThis book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike.Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.Trade Review“Adhikari’s work is an excellent resource for any individual seeking to learn more about algebraic topology. By no means will this text feel like an introduction to algebraic topology, but it does offer much for both beginners and experts. … the text will be a valuable reference on the bookshelf of any reader with an interest in algebraic topology. Summing Up: Recommended. Upper-division undergraduates and above; researchers and faculty.” (A. Misseldine, Choice, Vol. 54 (9), May, 2017)“I am pretty enthusiastic about this book. … it shows very good taste on the author’s part as far as what he’s chosen to do and how he’s chosen to do it. … Wow! What a nice book. I’m glad I have a copy.” (Michael Berg, MAA Reviews, maa.org, February, 2017)“This is a comprehensive textbook on algebraic topology. … accessible to students of all levels of mathematics, so suitable for anyone wanting and needing to learn about algebraic topology. It can also offer a valuable resource for advanced students with a specialized knowledge in other areas who want to pursue their interest in this area. … further readings are provided at the end of each of them, which also enables students to study the subject discussed therein in more depth.” (Haruo Minami, zbMATH 1354.55001, 2017)Table of ContentsPrerequisite Concepts and Notations.- Basic Homotopy.- The Fundamental Groups.-Covering Spaces.- Fibre Bundles, Vector Bundles and K-theory.- Geometry of Simplicial Complexes and Fundamental Groups.- Higher Homotopy Groups.- Products in Higher Homotopy Groups.- CW-complexes and Homotopy.- Eilenberg-MacLane Spaces.- Homology and Cohomology Theories.- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories.- Consequences of the Eilenberg-Steenrod Axioms.- Some Applications of Homology Theory.- Spectral Homology and Cohomology Theories.- Obstruction Theory.- More Relations Between Homotopy and Homology Groups.- A Brief Historical Note.
£62.99
Springer Verlag Gruppi: Una introduzione a idee e metodi della
Book SynopsisNato dai corsi universitari di Teoria dei Gruppi tenuti per vari anni dall'autore, questo libro affronta gli argomenti fondamentali della teoria: gruppi abeliani, nilpotenti e risolubili, gruppi liberi, permutazioni, rappresentazioni e coomologia. Dopo le prime nozioni, viene esposto il programma di Hölder per la classificazione dei gruppi finiti. Un lungo capitolo è dedicato all'azione di un gruppo su un insieme e alle permutazioni, sia sotto l'aspetto algebrico che combinatorio, con richiami alla teoria delle equazioni. Si considerano anche alcune questioni di carattere logico, come la decidibilità del problema della parola per certe classi di gruppi. Un aspetto essenziale del libro è la presenza di una grande varietà di esercizi, circa 400, in gran parte risolti.Trade ReviewFrom the reviews: "This book is an introductory course to the theory of groups directed to students of a second level in mathematics. It is self-contained and offers a large selection of exercises." (Francesco de Giovanni, Zentralblatt MATH, Vol. 1147, 2008)Table of ContentsNozioni introduttive e primi teoremi.- Sottogruppi normali, coniugio e teoremi di isomorfismo.- Azione di un gruppo su un insieme.- Generatori e relazioni.- Gruppi nilpotenti e gruppi risolubili.- Rappresentazioni lineari.- Ampliamenti e coomologia.- Soluzione degli esercizi.
£26.59
Taylor & Francis Ltd Almost Completely Decomposable Groups
Book SynopsisAn almost completely decomposable abelian (acd) group is an extension of a finite direct sum of subgroups of the additive group of rational numbers by a finite abelian group. Examples are easy to write and are frequently used but have been notoriously difficult to study and classify because of their computational nature. However, a general theory of acd groups has been developed and a suitable weakening of isomorphism, Lady's near-isomorphism, has been established as the rightconcept for studying acd groups. A number of important classes of acd groups has been successfully classified. Direct sum decompositions of acd groups are preserved under near-isomorphism and the well-known pathological decompositions can actually be surveyed in special cases.Table of Contents1. Notation and Background 2. Basics and Completely Decomposable Groups 3. Cyclic Essential Extensions 4. Regulating Subgroups and Regulators 5. Local-Global Relationships 6. Groups with Cyclic Regulating 7. Completely Decomposable Summands 8. Anti-Representations 8. Near-Isomorphism and Type-Isomorphism 9. Fundamental Decomposition Theorems 10. Finite Essential Extensions 11. Representing Matrices 12. Classification 13. Direct Decompositions of Block-Rigid crq-Groups 14. In Search for Good Categories 15. Associated Structures 16. Literature
£161.50
Springer Verlag, Singapore Topological Dynamics and Topological Data
Book SynopsisThis book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9–11 December 2018. The book discusses topics on topological dynamical systems and topological data analysis. Topics are ranging from general topology, algebraic topology, differential topology, fuzzy topology, topological dynamical systems, topological groups, linear dynamics, dynamics of operator network topology, iterated function systems and applications of topology. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. The book is a valuable resource for researchers, scientists and engineers from both academia and industry.Table of ContentsH. Bruin, An Overview of Unimodal Inverse Limit Spaces.- B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Rapellers Part I: A General Introduction.- B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Repellers: Part II: Dynamically Defined Function Graphs.- K. Lesniak, Iterated Function Systems – A Topological Approach Attractors.- H. Kato, Zero Dimensional Covers of Dynamical Systems.- H. Kato, Chaotic Continua in Chaotic Dynamical Systems.- R. L. Devaney, S. M. Marotta, Mandelpinski Necklaces in the Parameter Planes of Rational Maps.- Kit C Chan, Some Examples of Hypercyclic Operators and Universal Sequences of Operators.- Kit C Chan, Some Basic Properties of Hypercyclic Operators.- Kit C Chan, The Testing Ground of Weighted Shift Operators for Hypercyclicity.- D. Drozdov, M. Samuel, A. Tetenov, On -deformations of Polygonal Dendrites.- A. Tetenov, K. Kamalutdinov, V. Aseev, General Position Theorems and its Applications.- A. Raj P, V. Kumar P B, The nth iterate of a map with dense orbit.- Aswathy R K, S. Mathew, Finite Products of Irregular Iterated Function Systems and Their Separation Properties.- A. Akbar, Mubeena T, Periodic Points of N-dimensional Toral Automorphisms.- S. Jose, V. Kumar P B, Julia Sets in Topological Spaces.- K U Sreeja, V. Kumar P B, Ramkumar P B, Julia, Sets of Some Graphs Using Independence Polynomials.- P. Frosini, An Introduction to the Notion of Natural Pseudo Distance in Topological Data Analysis.- A. Cerri, P. Frosini, A Brief Introduction to Multidimensional Persistent Betti Numbers.- N. Quercioli, Some New Methods to Build Group Equivariant Non Expansive Operators in TDA.- Y. Dabaghian, Topological Stability of the Hippocampal Spatial Map and Synaptic Transience.- A. Jacob, Ramkumar P B, Intuitionistic Fuzzy Graph Morphological Topology.- A. G. Pillai, Ramkumar P B, Some Properties of the Bitopological Space Associated with the 3-Uniform Semigraph of Cycle graph.- D. Chandran R, Ramkumar P B, Hypergraph Topology.
£143.99
Springer Verlag, Singapore A First Course in Group Theory
Book SynopsisThis textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange’s theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.Trade Review“Advanced school students and well-motivated undergraduates can profitably read it, and it is a very useful general reference for the history of substantial parts of mathematics, placed in the context of contemporary social and political events. … as a readable … and refreshingly detailed account of the whole sweep of ‘infinitesimal methods’ from antiquity to the 1990s, this book is highly recommended.” (Peter Giblin, The Mathematical Gazette, Vol. 107 (570), November, 2023)“Davvaz's book, on the other hand, features many excellent discussions of groups of matrices. Indeed, matrix groups are used not just as examples of groups, but to help clarify and add depth to Davvaz's discussion of other families of groups. … . It is also, in my opinion, the highlight of the book.” (Benjamin Linowitz, MAA Reviews, February 20, 2022)Table of ContentsPreliminaries Notions.- Symmetries of Shapes.- Binary Operations.- Cyclic Groups.- Inverse Functions and Permutations.- Group of Arithmetical Functions.- Matrix Groups.- Translation and Scaling Matrices.- Cosets of Subgroups and Lagrange’s Theorem.- Normal Subgroups and Factor Groups.- Some Special Subgroups.- Commutators and Derived Subgroups.- Maximal Subgroups.- Group Homomorphisms.- Homomorphisms and Their Properties.- Cayley’s Theorem.- Another View of Linear Groups.
£42.74
Springer Verlag, Singapore Lie Theory and Its Applications in Physics:
Book SynopsisThis volume presents modern trends in the area of symmetries and their applications based on contributions to the Workshop "Lie Theory and Its Applications in Physics" held in Sofia, Bulgaria (on-line) in June 2021.Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a big interdisciplinary and interrelated field.The topics covered in this Volume are the most modern trends in the field of the Workshop: Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, Exceptional quantum algebra for the standard model of particle physics, Gauge Theories and Applications, Structures on Lie Groups and Lie Algebras.This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.Table of ContentsPlenary Talks: T. Kobayashi, Multiplicity in Restricting Minimal Representations.- Yang-Hui He, From the String Landscape to the Mathematical Landscape: a Machine-Learning Outlook.- I. Todorov, Octonionic Clifford Algebra for the Internal Space of the Standard Model.- P. Vitale, The Jacobi Sigma Model.- P. Aschieri, Levi-Civita Connections on Braided Algebras.- N. Bobev, Notes on AdS4 Holography and Higher-Derivative Supergravity.- T. Brzezinski, Homothetic Rota-Baxter Systems and Dyckm-Algebras.- M. Henkel, Quantum Dynamics Far from Equilibrium: a Case Study in the Spherical Model.- Hankyung Ko and V. Mazorchuk, On First Extensions in S -Subcategories of O.- Robert de Mello Koch and Sanjaye Ramgoolam, Higher Dimensional CFTs as 2D Conformally-Equivariant Topological Field Theories.- G. Manolakos, G. Patellis and G. Zoupanos, Reducing the N = 1, 10D E8 Gauge Theory over a Modified Flag Manifold.- String Theories, (Super-)Gravity, Cosmology: Andre Alves Lima, Galen M. Sotkov and Marian Stanishkov, Ramond States of the D1-D5 CFT Away from the Free Orbifold Point.- L. Anguelova, Primordial Black Hole Generation in a Two-field Inflationary Model.- D. Staicova, Late Time Cosmic Acceleration with Uncorrelated Baryon Acoustic Oscillations.- L. Ravera, On the Hidden Symmetries of D = 11 Supergravity.- F. Nieri, Defects at the Intersection: the Supergroup Side.- T. Masuda, A New S-matrix Formula and Extension of the State Space in Open String Field Theory.- E. Boffo, Dual Dilaton with R and Q Fluxes.- Representation Theory: E. Poletaeva, On 1-Dimensional Modules over the Super-Yangian of the Superalgebra Q(1).- N. I. Stoilova and Joris Van der Jeugt, A Klein Operator for Paraparticles.- G. Sengor and C. Skordis, Principal and Complementary Series Representations at the Late-Time Boundary of de Sitter.- S. Aoki, Janos Balog, T. Onogi, and S. Yokoyama, Bulk Reconstruction from a Scalar CFT at the Boundary by the Smearing with the Flow Equation.- Y. Wang and Chih-Hao Fu, Building Momentum Kernel from Shapovalov Form.- Ilia Smilga, Action of w0 on VL for Orthogonal and Exceptional Groups.- Ood Shabtai, Pairs of Spectral Projections of Spin Operators.- Integrable Systems: Jean-Emile Bourgine, Algebraic Engineering and Integrable Hierarchies.- Cestm ˇ ´ır Burd´ık and O. Navratil, Nested Bethe Ansatz for RTT–Algebra An.- O. Vaneeva, O. Magda and A. Zhalij, Lie Reductions and Exact Solutions of Generalized Kawahara Equations.- Y. Nasuda, Several Exactly Solvable Quantum Mechanical Systems and the SWKB Quantization Condition.- A. Pribytok, Automorphic Symmetries and AdSn Integrable Deformations.- Applications to Quantum Theory: M. Kirchbach, T. Popov, and J.-A. Vallejo, The Conformal-Symmetry–Color-Neutrality Connection in Strong Interaction.- I. Salom and N. Manojlovic, sℓ(2) Gaudin Model with General Boundary Terms.- T. Barron and A. Kazachek, Entanglement of Mixed States in Kahler Quantization.- J. Alnefjord, A. Lifson, C. Reuschle, and M. Sjodahl, The Chirality-Flow Formalism for Standard Model Calculations.- F. Kuipers, Spacetime Stochasticity and Second Order Geometry.- Special Mathematical Results: P. Moylan, Velocity Reciprocity in Flat and Curved Space-Time.- S. Stoimenov and M. Henkel, Meta-Schrodinger Transformations.- Hulya Arg ¨ uz¨, The Quantum Mirror to the Quartic del Pezzo Surface.- A. Ganchev, Bidirectional Processes - in Category Theory, Physics, Engineering.- Gauge Theories and Applications: Richard S. Garavuso, Nonholomorphic Superpotentials in Heterotic Landau-Ginzburg Models.- F. Feruglio, Automorphic Forms and Fermion Masses.- T. Ishibashi, Wilson Lines and Their Laurent Positivity.- Maro Cvitan, Predrag Dominis Prester, Stefano Gregorio Giaccari, Mateo Paulisiˇ c´, and Ivan Vukovic´, Gauging Higher-Spin-Like Symmetries Using the Moyal Product.- N. Ikeda and S. Sasaki, Integration of Double Field Theory Algebroids and Pre-rackoid in Doubled Geometry.- H. Mori, S. Sasaki, K. Shiozawa, Doubled Aspects of Algebroids and Gauge Symmetry in Double Field Theory.- C. Anghel and D. Cheptea, Lie Algebroids and Weight Systems.- Structures on Lie Groups and Lie Algebras: K. Arashi, Visible Actions of Certain Affine Transformation Groups of a Siegel Domain of the Second Kind.- A. Brus, Jiˇr´ı Hrivnak´ and L. Motlochova´, Quantum Particle on Lattices in Weyl Alcoves.- A. Latorre and L. Ugarte, Abelian J-Invariant Ideals on Nilpotent Lie Algebras.- Alexis Langlois-Remillard, The Dihedral Dunkl–Dirac Symmetry Algebra with Negative Clifford Signature.- Tekin Karadag˘, Lie Structure on Hopf Algebra Cohomology.- Esther Garcıa, Miguel Gomez Lozano, and Ruben Munoz Alcazar, Filtration Associated to an Abelian Inner Ideal and the Speciality of the Subquotient of a Lie Algebra.- Esther Garc´ıa, Miguel Gomez Lozano, and Guillermo Vera de Salas, Nilpotent Inner Derivations in Prime Superalgebras.
£999.99
