Algebra Books
Birkhauser Boston Inc Linear Algebraic Groups
Book SynopsisSome Algebraic Geometry.- Linear Algebraic Groups, First Properties.- Commutative Algebraic Groups.- Derivations, Differentials, Lie Algebras.- Topological Properties of Morphisms, Applications.- Parabolic Subgroups, Borel Subgroups, Solvable Groups.- Weyl Group, Roots, Root Datum.- Reductive Groups.- The Isomorphism Theorem.- The Existence Theorem.- More Algebraic Geometry.- F-groups: General Results.- F-tori.- Solvable F-groups.- Freductive Groups.- Reductive F-Groups.- Classification.Trade ReviewFrom the reviews of the second edition: "[The first] ten chapters...are an efficient, accessible, and self-contained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for self-study...the author [has a] student-friendly style… [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature…appear for the first time in a text." –Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites self-contained. The material of the first ten chapters covers the contents of the old book, but the arrangement is somewhat different and there are additions, such as the basic facts about algebraic varieties and algebraic groups over a ground field, as well as an elementary treatment of Tannaka's theorem. These chapters can serve as a text for an introductory course on linear algebraic groups. The last seven chapters are new. They deal with algebraic groups over arbitrary fields. Some of the material has not been dealt with before in other texts, such as Rosenlicht's results about solvable groups in Chapter 14, the theorem of Borel and Tits on the conjugacy over the ground field of maximal split tori in an arbitrary linear algebraic group in Chapter 15, and the Tits classification of simple groups over a ground field in Chapter 17. The book includes many exercises and a subject index." –Zentralblatt Math (Review of the Second Edition) "In Linear Algebraic Groups Springer aims at a self-contained treatment of the subject in the title and he certainly succeeds … . each chapter comes equipped with an endnote for a bit of history and context, as well as indications of where to go next. And all of it is done in a very clear style, making for a smooth and readable presentation. … a superb choice for any one wishing to learn the subject and go deeply into it quickly and effectively." (Michael Berg, The Mathematical Association of America, March, 2009)Table of ContentsSome Algebraic Geometry.- Linear Algebraic Groups, First Properties.- Commutative Algebraic Groups.- Derivations, Differentials, Lie Algebras.- Topological Properties of Morphisms, Applications.- Parabolic Subgroups, Borel Subgroups, Solvable Groups.- Weyl Group, Roots, Root Datum.- Reductive Groups.- The Isomorphism Theorem.- The Existence Theorem.- More Algebraic Geometry.- F-groups: General Results.- F-tori.- Solvable F-groups.- Freductive Groups.- Reductive F-Groups.- Classification.
£64.99
Taylor & Francis Inc NonAssociative Algebra and Its Applications
Book SynopsisWith contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences. This book covers material such as Jordan superalgebras, nonassociative deformations, nonassociative generalization of Hopf algebras, the structure of free algebras, derivations of Lie algebras, and the identities of Albert algebra. It also includes applications of smooth quasigroups and loops to differential geometry and relativity.Table of ContentsOn Non-unitary Representations of the Rotation Group and Magnetic Monopoles. Generalized Derivations of Quantum Polynomials. Abelian Group Gradings on Simple Algebras. Groebner-Shirshov Basis for Lie Algebras. Classification of Solvable Three-Dimensional Lip-Triple Systems. Nonassociative Algebra Structures on Irreducible Representations of the Simple Lie Algebra. On Locally Finite Split Lie Triple Systems. On a Special Kind of Malcev Algebras. New Realizations of Hadronic Supersymmetry Based on Octonions. Application of Octonionic Algebras in Hadronic Physics. Application of Octonionic Algebras in Hardonic Physics. On Flexible Right-Nilalgebras Satisfying x(zy) = y(zx). Lie Algebras: Applications to the Classical Electromagnetic Fields. Helicity Basis and Parity. A New Look at the Freudenthal. On the Theory of Left Loops. Approximation of Locally Compact Groups by Finite Quasigroups. Some Classes of Nonassociative Algebras. Some Results on the Theory of Smooth Bol-Bruck Loops. A Nonzero Element of Degree 7 in the Center of the Free Alternative Algebra. The Identities of the Simple Non-Special Jordan Algebra. Ternary Derivations of Finite Dimensional Real Division Algebras. The Transformation Algebras of Bernstein Graph Algebras. On Composition, Quadratic, and some Triple Systems. Combinatorial Rank of a Frobenius-Lusztig Kernel. On Representations on Right Nilalgebras of Right Nilindex Four and Dimension Four. An Introduction to Associator Quantization. Prosymmetric Spaces. The Exponential Function and the Fundamental Theorem of Algebra for the Cayley Dickson Algebras. Dimension Filtration on Binary Systems. Right Alternative Bimodules. Some Applications of Quasigroups and Loops in Physics. Gravity within the Framework of Nonassociative Geometry. One-to-One Correspondence between Bi-Linear and Triple Product Algebras. Algebras satisfying Local Symmetric Triality Principle. Operads and Nonassociative Deformations. Representations of Quantum Algebras at Roots of 1. Algebras, Hyperalgebras, Nonassociative Bialgebras, and Loops. Algebraic Structures on Lie Algebras, Vinberg Algebras. Algebraic and Differential Structures in Renormalized Perturbation Quantum Field Theory. Survey on Smooth Quasigroups Development. On Kikkawa Spaces. Bol and Bruck Identities in Recent Research. New Example of a Simple Jordan Superalgebra with Associative Even Part. Unital Irreducible Representations of Small Simple Jordan Superalgebras. The Lie Product on the Lie Bialgebra Duals of the Witt and Virasoro Algebras. Derivations and Automorphisms of Free Algebras. On Derivations and Automorphisms of a Lie Algebra. Subrings of Finite Division Rings. Realizaiton of Finite Groups by Nets in Complex Projective Plane.
£999.99
Springer London Monomial Ideals Graduate Texts in Mathematics 260
Book SynopsisThis book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals.Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three parts.Trade ReviewFrom the reviews:“The authors … who themselves have played an important, often crucial, role in recent developments of the subject, make an ideal co-author pairing for composing a book with such a comprehensive choice of material, including the latest achievements. It should serve as a useful resource for researchers in both commutative algebra and combinatorics. … The presentation of the material is distinctive for its clarity and elegant style. … The text can serve nicely as a basis for a couple of graduate courses in two semesters.” (Rahim Zaare-Nahandi, Mathematical Reviews, Issue 2011 k)Table of ContentsPart I Gröbner bases: Monomial Ideals.- A short introduction to Gröbner bases.- Monomial orders and weights.- Generic initial ideals.- The exterior algebra.- Part II: Hilbert functions and resolutions.- Hilbert functions and the theorems of Macaulay and Kruskal-Katona.- Resolutions of monomial ideals and the Eliahou-Kervaire formula.- Alexander duality and resolutions.- Part III Combinatorics: Alexander duality and finite graphs.- Powers of monomial ideals.- Shifting theory.- Discrete Polymatroids.- Some homological algebra.- Geometry
£75.99
Springer Graded Syzygies 14 Algebra and Applications
a huge range and FREE tracked UK delivery on ALL orders.
£113.99
Springer Representations of Hecke Algebras at Roots of Unity 15 Algebra and Applications
a huge range and FREE tracked UK delivery on ALL orders.
£104.49
Springer On Normalized Integral Table Algebras Fusion Rings Generated by a Faithful Nonreal Element of Degree 3 16 Algebra and Applications
a huge range and FREE tracked UK delivery on ALL orders.
£72.95
Trustworthy Communications, LLC Introduction to Abstract Algebra 7th Edition
£29.92
Math Essentials NoNonsense Algebra Practice Workbook Part of the Mastering Essential Math Skills Series
£47.71
£55.95
Atlantic Financial Press Interest Rate Modeling. Volume 1
£80.50
Minireference Co. No bullshit guide to linear algebra
£26.10
Onperson International Ltd. The Fibonacci Resonance and other new Golden Ratio discoveries Maths music archaeology architecture art quasicrystals metamaterials Book 1 ORI32 Geometry CryptoChromatology Series
£49.50
Legare Street Press Algebra for Beginners
a huge range and FREE tracked UK delivery on ALL orders.
£25.60
Legare Street Press Smithsonian Mathematical Formulate and Tables of Elliptic Function
a huge range and FREE tracked UK delivery on ALL orders.
£28.45
Legare Street Press Rays Algebra Part Second
a huge range and FREE tracked UK delivery on ALL orders.
£28.45
Legare Street Press High School Algebra microform
a huge range and FREE tracked UK delivery on ALL orders.
£999.99
Legare Street Press Proceedings of the Lehigh County Historical Society 2
a huge range and FREE tracked UK delivery on ALL orders.
£24.65
Legare Street Press Textbook of Mechanics 2
a huge range and FREE tracked UK delivery on ALL orders.
£25.60
Legare Street Press A Treatise on Analytical Statics
a huge range and FREE tracked UK delivery on ALL orders.
£28.45
Legare Street Press A Practical Treatise on Algebra
a huge range and FREE tracked UK delivery on ALL orders.
£26.55
Legare Street Press Proceedings of the Bostonian Society Annual Meeting 1888
a huge range and FREE tracked UK delivery on ALL orders.
£14.09
Legare Street Press Proceedings of the Bostonian Society Annual Meeting 1903
a huge range and FREE tracked UK delivery on ALL orders.
£14.09
Legare Street Press Elements of Vector Analysis
a huge range and FREE tracked UK delivery on ALL orders.
£14.09
Legare Street Press The Elements of Algebra With Numerous Exercises for Viva Voce and Written Work microform
a huge range and FREE tracked UK delivery on ALL orders.
£28.45
Legare Street Press Elements of Algebra
a huge range and FREE tracked UK delivery on ALL orders.
£19.95
Legare Street Press Solutions of the Examples in Higher Algebra
a huge range and FREE tracked UK delivery on ALL orders.
£26.55
Legare Street Press Proceedings of the Bostonian Society Annual Meeting 1907
a huge range and FREE tracked UK delivery on ALL orders.
£14.96
Legare Street Press First Mnemonical Lessons in Geometry Algebra and Trigonometry by the Rev. Thos. Penyngton Kirkman
a huge range and FREE tracked UK delivery on ALL orders.
£999.99
Legare Street Press Textbook of Mechanics 4
a huge range and FREE tracked UK delivery on ALL orders.
£24.65
Legare Street Press Joint Bulletin no.3 1917
a huge range and FREE tracked UK delivery on ALL orders.
£13.22
Legare Street Press Proceedings of the Bostonian Society Annual Meeting 1902
a huge range and FREE tracked UK delivery on ALL orders.
£14.09
Legare Street Press Smithsonian Mathematical Formulate and Tables of Elliptic Function
a huge range and FREE tracked UK delivery on ALL orders.
£19.90
Legare Street Press Algebra for Beginners microform
a huge range and FREE tracked UK delivery on ALL orders.
£13.95
Legare Street Press An Elementary Treatise on Analytic Mechanics
Book Synopsis
£31.30
Legare Street Press Rays Algebra Part Second
a huge range and FREE tracked UK delivery on ALL orders.
£19.90
Legare Street Press New Higher Algebra
a huge range and FREE tracked UK delivery on ALL orders.
£19.90
Legare Street Press Algebraic Formulae microform
a huge range and FREE tracked UK delivery on ALL orders.
£13.22
Legare Street Press The Mathematical Principles of Natural Philosophy
a huge range and FREE tracked UK delivery on ALL orders.
£25.60
Legare Street Press Proceedings of the Bostonian Society Annual Meeting 1917
a huge range and FREE tracked UK delivery on ALL orders.
£22.75
Legare Street Press Proceedings of the Bostonian Society Annual Meeting 1909
a huge range and FREE tracked UK delivery on ALL orders.
£14.96
Legare Street Press High School Algebra microform
a huge range and FREE tracked UK delivery on ALL orders.
£999.99
Legare Street Press Proceedings of the Bostonian Society Annual Meeting 1889
a huge range and FREE tracked UK delivery on ALL orders.
£14.09
Legare Street Press Elements of Algebra
a huge range and FREE tracked UK delivery on ALL orders.
£19.90
Legare Street Press The Irrational Number System
a huge range and FREE tracked UK delivery on ALL orders.
£14.09
Legare Street Press A Method of Approximation
a huge range and FREE tracked UK delivery on ALL orders.
£13.22
Legare Street Press Joint Bulletin no.1 1915
a huge range and FREE tracked UK delivery on ALL orders.
£21.80
Legare Street Press The Complete Algebra
a huge range and FREE tracked UK delivery on ALL orders.
£28.45
Legare Street Press Exercises in Algebra for Fifth Book Public School Leaving and Primary Classes microform
a huge range and FREE tracked UK delivery on ALL orders.
£14.96