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Title: REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS
By: D. J. Benson, B. Bollobas, W. Fulton
Format: Paperback

List price: £50.99
Our price: £44.62
Discount:
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ISBN 10: 0521636531
ISBN 13: 9780521636537
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 18 June, 1998
Series: Cambridge Studies in Advanced Mathematics No. 30
Pages: 260
Description: An introduction to modern developments in the representation theory of finite groups and associative algebras.
Synopsis: This is the first of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume is self-contained and independent of its successor, being primarily concerned with the exposition of the necessary background material. The heart of the book is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in detail. Much of the material presented here has never appeared in book form. Consequently students and research workers studying group theory and indeed algebra in general will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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ALGEBRAIC AUTOMATA THEORY (PB)
ALGEBRAIC CURVES OVER FINITE FIELDS (PB)
ALGEBRAIC GEOMETRY (PB)
ALGEBRAIC HOMOTOPY (HB)
ALGEBRAIC L-THEORY AND TOPOLOGICAL MANIFOLDS (HB)
ALGEBRAIC NUMBER THEORY (PB)
AN INTRODUCTION TO HOMOLOGICAL ALGEBRA (PB)
AN INTRODUCTION TO THE THEORY OF THE RIEMANN ZETA-FUNCTION (PB)
ANALYSIS ON FRACTALS (HB)
APPROACHES TO THE THEORY OF OPTIMIZATION (PB)
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ARITHMETIC OF QUADRATIC FORMS (PB)
ASSOCIATION SCHEMES (HB)
ASYMPTOTIC EXPANSIONS (PB)
AUTOMORPHIC FORMS AND L-FUNCTIONS FOR THE GROUP GL(N,R) (HB)
AUTOMORPHIC FORMS AND REPRESENTATIONS (PB)
AUTOMORPHIC FORMS ON SL2 (R) (HB)
BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (HB)
CALCULUS OF VARIATIONS (HB)
CELLULAR STRUCTURES IN TOPOLOGY (HB)
CLIFFORD ALGEBRAS AND DIRAC OPERATORS IN HARMONIC ANALYSIS (HB)
CLIFFORD ALGEBRAS AND THE CLASSICAL GROUPS (HB)
COHEN-MACAULAY RINGS (PB)
COHOMOLOGY OF DRINFELD MODULAR VARIETIES, PART 2, AUTOMORPHIC FORMS, TRACE FORMULAS AND LANGLANDS CORRESPONDENCE (HB)
COMPLETENESS AND BASIS PROPERTIES OF SETS OF SPECIAL FUNCTIONS (PB)
CONTINUUM PERCOLATION (HB)
DERIVATION AND INTEGRATION (HB)
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DESIGNS AND THEIR CODES (PB)
DUALITY AND PERTURBATION METHODS IN CRITICAL POINT THEORY (HB)
DUALITY IN ANALYTIC NUMBER THEORY (HB)
DYNAMICAL SYSTEMS AND SEMISIMPLE GROUPS (HB)
ENDS OF COMPLEXES (HB)
ERGODIC THEORY (PB)
FINITE FREE RESOLUTIONS (PB)
FINITE GROUP THEORY (HB)
FINITE PACKING AND COVERING (HB)
FOURIER INTEGRALS IN CLASSICAL ANALYSIS (HB)
FREDHOLM THEORY IN BANACH SPACES (PB)
FUNCTION SPACES, ENTROPY NUMBERS, DIFFERENTIAL OPERATORS (HB)
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GRAPH THEORY (PB)
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GROUPS ACTING ON GRAPHS (HB)
GROUPS AS GALOIS GROUPS (HB)
HARMONIC MAPPINGS IN THE PLANE (HB)
HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY II: VOLUME 2 (HB)
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IDEAL THEORY (PB)
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INTRODUCTION TO HIGHER-ORDER CATEGORICAL LOGIC (PB)
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LECTURES IN LOGIC AND SET THEORY: VOLUME 1, MATHEMATICAL LOGIC (HB)
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LECTURES ON VECTOR BUNDLES (HB)
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MAPPING CLASS GROUPS OF LOW GENUS AND THEIR COHOMOLOGY (PB)
MARKOV PROCESSES, GAUSSIAN PROCESSES, AND LOCAL TIMES (HB)
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MULTIVALENT FUNCTIONS (HB)
MUSIC: A MATHEMATICAL OFFERING (PB)
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ON L1-APPROXIMATION (HB)
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POLYNOMIAL INVARIANTS OF FINITE GROUPS
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RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS (PB)
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REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS
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SPECTRAL DECOMPOSITION AND EISENSTEIN SERIES (HB)
SPECTRAL THEORY AND DIFFERENTIAL OPERATORS (PB)
SPECTRAL THEORY OF THE RIEMANN ZETA-FUNCTION (HB)
SPINNING TOPS (HB)
SPORADIC GROUPS (HB)
STOCHASTIC APPROXIMATION (PB)
STOCHASTIC FLOWS AND STOCHASTIC DIFFERENTIAL EQUATIONS (PB)
STONE SPACES (PB)
SURVEYS IN COMBINATORICS
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THE GEOMETRY OF FRACTAL SETS (PB)
THE HARDY-LITTLEWOOD METHOD (HB)
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