Groups and group theory Books
Cambridge University Press Character Theory for the Odd Order Theorem 272 London Mathematical Society Lecture Note Series Series Number 272
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£55.09
Cambridge University Press Permutation Groups 45 London Mathematical Society Student Texts Series Number 45
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£116.85
Cambridge University Press LMSST 45 Permutation Groups London Mathematical Society Student Texts Series Number 45
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£47.49
Cambridge University Press Groups St Andrews 1997 in Bath Volume 2 261 London Mathematical Society Lecture Note Series Series Number 261
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£65.86
Cambridge University Press Groups St Andrews 1997 in Bath Volume 1 260 London Mathematical Society Lecture Note Series Series Number 260
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£58.40
Cambridge University Press Groups St Andrews 2005 Volume 2 340 London Mathematical Society Lecture Note Series Series Number 340
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£65.86
Cambridge University Press Groups Graphs and Trees An Introduction to the Geometry of Infinite Groups London Mathematical Society Student Texts Series Number 73
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£37.99
Cambridge University Press Geometric and Cohomological Methods in Group Theory
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£53.99
Cambridge University Press Induced Representations of Locally Compact Groups 197 Cambridge Tracts in Mathematics Series Number 197
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£84.54
Cambridge University Press Finite Group Theory 10 Cambridge Studies in Advanced Mathematics Series Number 10
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£100.70
Cambridge University Press Restricted Orbit Equivalence for Actions of Discrete Amenable Groups 146 Cambridge Tracts in Mathematics Series Number 146
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£105.45
Cambridge University Press Representations and Characters of Groups
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£133.00
Cambridge University Press Elementary Number Theory Group Theory and Ramanujan Graphs 55 London Mathematical Society Student Texts Series Number 55
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£138.70
Cambridge University Press Langlands Correspondence for Loop Groups
Book SynopsisThe Langlands Program was conceived initially as a bridge between Number Theory and Automorphic Representations, and has now expanded into such areas as Geometry and Quantum Field Theory, tying together seemingly unrelated disciplines into a web of tantalizing conjectures. A new chapter to this grand project is provided in this book. It develops the geometric Langlands Correspondence for Loop Groups, a new approach, from a unique perspective offered by affine Kac-Moody algebras. The theory offers fresh insights into the world of Langlands dualities, with many applications to Representation Theory of Infinite-dimensional Algebras, and Quantum Field Theory. This accessible text builds the theory from scratch, with all necessary concepts defined and the essential results proved along the way. Based on courses taught at Berkeley, the book provides many open problems which could form the basis for future research, and is accessible to advanced undergraduate students and beginning graduate sTrade Review'This book is well written and will give especially the interested student, an excellent basis in this rapidly developing area of mathematics. For those beyond the level of student it also provides very useful text to follow, and perhaps to participate, in these developments.' Samuel James Patterson, Zentralblatt MATHTable of ContentsPreface; 1. Local Langlands Correspondence; 2. Vertex algebras; 3. Constructing central elements; 4. Opers and the center for a general Lie algebra; 5. Free field realization; 6. Wakimoto modules; 7. Intertwining operators; 8. Identification of the center with functions on opers; 9. Structure of bg-modules of critical level; 10. Constructing the local Langlands Correspondence; Appendix; References.
£83.59
Cambridge University Press Harmonic Analysis on Finite Groups Representation Theory Gelfand Pairs and Markov Chains 108 Cambridge Studies in Advanced Mathematics Series Number 108
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£89.29
Cambridge University Press Group Theory
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£71.24
Cambridge University Press Algebraic Combinatorics and the Monster Group
Book SynopsisThis text provides the current state of knowledge on, arguably, one of the most attractive and mysterious mathematical objects: the Monster group. Some 20 experts here share their expertise in this exciting field. Ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.Trade Review'Describing the Monster group mathematical structures is the culmination of decades of work. Just as the largest Mathieu group framed the 24-dimensional Leech lattice, so also that lattice is the foundation for constructing the Moonshine Module and the Monster algebra, through which the Monster has become central in a theory with deep connections to modern physics. The first part of the book is a collection of five papers on the Monster and other algebraic structures, presented by international leaders in the area providing an outsider with the necessary content and concepts. It presents an account of the current status of the theory and available computational tools for studying the Monster and its algebras. The machinery for developing Majorana theory and axial algebras underpinning the Monster is based on Algebraic Combinatorics, to which the second part of this collection is devoted.' Cheryl Praeger, Emeritus Professor, University of Western Australia''Monstrous Moonshine', an unexpected correspondence involving the largest sporadic simple group, the classical modular function, and conformal field theory, was one of the greatest discoveries of the twentieth century. The modern approach, pioneered by Alexander Ivanov, involves Majorana algebras; the theory is clearly explained here. Among other jewels in the book is a geometric discussion of the Freudenthal - Tits 'magic square', linking the exceptional Lie algebras with the real, complex, quaternion and octonion number fields.' Peter Cameron, University of St AndrewsTable of ContentsPart I. The Monster: 1. Lectures on vertex algebras Atsushi Matsuo; 2. 3-Transposition groups arising in vertex operator algebras Hiroshi Yamauchi; 3. On holomorphic vertex operator algebras of central charge 24 Ching Hung Lam; 4. Maximal 2-local subgroups of the Monster and Baby Monster Ulrich Meierfrankenfeld and Sergey Shpectorov; 5. The future of Majorana theory II Alexander A. Ivanov; Part II. Algebraic Combinatorics: 6. The geometry of Freudenthal-Tits magic square Hendrik Van Maldegham; 7. On generation of polar Grassmanisns Ilaria Cardinali, Lucca Giuzzi and Antonio Pasini; 8. Ovoidal maximal subspaces of polar spaces Antonio Pasini and Hendrik Van Maldegham; 9. On the behaviour of regular unipotent elements from subsystem subgroups of type A_n with special highest weights Tatsiana S. Busel and Irina D. Suprunenko; 10. Some remarks on the parameter c_2 for a distance-regular graph with classical parameters Jack H. Koolen, Jongyook Park and Qianqian Yang; 11. Distance-regular graphs, the subconstituent algebra, and the q-polynomial property Paul Terwilliger; 12. Terwilliger algebras and the Weisfeiler-Leman stabilization Tatsuro Ito; 13. Extended doubling of self-complementary strongly regular graphs and an analogue for digraphs Takuya Ikuta and Akihiro Munemasa; 14. Using GAP package for research in graph theory, design theory and finite geometries Leonard H. Soicher.
£85.50
Cambridge University Press Nonhomogeneous Random Walks Lyapunov Function Methods for NearCritical Stochastic Systems 209 Cambridge Tracts in Mathematics Series Number 209
Book SynopsisStochastic systems provide powerful abstract models for a variety of important real-life applications: for example, power supply, traffic flow, data transmission. They (and the real systems they model) are often subject to phase transitions, behaving in one way when a parameter is below a certain critical value, then switching behaviour as soon as that critical value is reached. In a real system, we do not necessarily have control over all the parameter values, so it is important to know how to find critical points and to understand system behaviour near these points. This book is a modern presentation of the 'semimartingale' or 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from stochastic billiards models to interacting particle systems. Spatially non-homogeneous random walks are explored in depth, as they provide prototyTrade Review'This is another impressive volume in the prestigious `Cambridge Tracts in Mathematics' series … The authors of this book are well-known for their long standing and well-recognized contributions to this area of research. Besides their own results published over the last two decades, the authors cover all significant achievements up to date … It is remarkable to see detailed `Bibliographical notes' at the end of each chapter. The authors have done a great job by providing valuable information about the historical development of any topic treated in this book. We find extremely interesting facts, stories and references. All this makes the book more than interesting to read and use.' Jordan M. Stoyanov, Zentralblatt MATH'This book gives a comprehensive account of the study of random walks with spatially non-homogeneous transition kernels. The main theme is to study recurrence versus transience and moments of passage times, as well as path asymptotics, by constructing suitable Lyapunov functions, which define semi-martingales when composed with the random walk. Of special interest are the Lamperti processes, which are stochastic processes on [0, ∞) with drift vanishing asymptotically on the order of 1/x as the space variable x tends to infinity. … Each chapter ends with detailed bibliographical notes.' Rongfeng Sun, Mathematical ReviewsTable of Contents1. Introduction; 2. Semimartingale approach and Markov chains; 3. Lamperti's problem; 4. Many-dimensional random walks; 5. Heavy tails; 6. Further applications; 7. Markov chains in continuous time; Glossary of named assumptions; Bibliography; Index.
£128.25
Cambridge University Press Basic Category Theory 143 Cambridge Studies in
Book SynopsisAssuming little mathematical background, this short introduction to category theory is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. Suitable for independent study or as a course book, it gives extensive explanations of the key concepts along with hundreds of examples and exercises.Table of ContentsNote to the reader; Introduction; 1. Categories, functors and natural transformations; 2. Adjoints; 3. Interlude on sets; 4. Representables; 5. Limits; 6. Adjoints, representables and limits; Appendix: proof of the General Adjoint Functor Theorem; Glossary of notation; Further reading; Index.
£47.49
