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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
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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
Some other items by this author:
3-TRANSPOSITION GROUPS (HB)
A PRIMER OF NONLINEAR ANALYSIS (PB)
A TRIBUTE TO PAUL ERDOS
A TRIBUTE TO PAUL ERDOS (HB)
A TRIBUTE TO PAUL ERDOS (PB)
A USER'S GUIDE TO SPECTRAL SEQUENCES (HB)
ABELIAN VARIETIES, THETA FUNCTIONS AND THE FOURIER TRANSFORM (HB)
ADDITIVE COMBINATORICS (HB)
AFFINE DIFFERENTIAL GEOMETRY (HB)
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)
APPROXIMATION BY ALGEBRAIC NUMBERS (HB)
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)
DESIGNS AND THEIR CODES (HB)
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)
GALOIS THEORIES (HB)
GAUSSIAN HILBERT SPACES (HB)
GENERAL IRREDUCIBLE MARKOV CHAINS AND NON-NEGATIVE OPERATORS (PB)
GEOMETRIC CONTROL THEORY (HB)
GEOMETRY OF SETS AND MEASURES IN EUCLIDEAN SPACES (PB)
GRAPH THEORY (PB)
GRAPH THEORY AND COMBINATORICS 1988 (PB)
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)
HOPF ALGEBRAS (PB)
HYPERBOLICITY AND SENSITIVE CHAOTIC DYNAMICS AT HOMOCLINIC BIFURCATIONS (PB)
IDEAL THEORY (PB)
INFINITE ELECTRICAL NETWORKS (HB)
INTERSECTION THEORY (HB)
INTRODUCTION TO ANALYTIC AND PROBABILISTIC NUMBER THEORY (HB)
INTRODUCTION TO HIGHER-ORDER CATEGORICAL LOGIC (PB)
INTRODUCTION TO HP SPACES (HB)
INTRODUCTORY LECTURES ON SIEGEL MODULAR FORMS (HB)
INVARIANTS OF QUADRATIC DIFFERENTIAL FORMS (PB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 1, MATHEMATICAL LOGIC (HB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 2, SET THEORY (HB)
LECTURES ON VECTOR BUNDLES (HB)
LOCAL COHOMOLOGY (HB)
LOCAL REPRESENTATION THEORY (PB)
MAPPING CLASS GROUPS OF LOW GENUS AND THEIR COHOMOLOGY (PB)
MARKOV PROCESSES, GAUSSIAN PROCESSES, AND LOCAL TIMES (HB)
MATRICES OF SIGN-SOLVABLE LINEAR SYSTEMS (HB)
MODULAR FORMS AND GALOIS COHOMOLOGY (HB)
MULTIPLE FORCING (HB)
MULTIPLICATIVE NUMBER THEORY I (HB)
MULTIVALENT FUNCTIONS (HB)
MUSIC: A MATHEMATICAL OFFERING (PB)
NOTES ON TIME DECAY AND SCATTERING FOR SOME HYPERBOLIC PROBLEMS (PB)
ON L1-APPROXIMATION (HB)
POLYCYCLIC GROUPS (PB)
POLYNOMIAL INVARIANTS OF FINITE GROUPS
POLYNOMIAL INVARIANTS OF FINITE GROUPS (PB)
POSITIVE HARMONIC FUNCTIONS AND DIFFUSION (HB)
QUANTUM STOCHASTIC PROCESSES AND NON-COMMUTATIVE GEOMETRY (HB)
RANDOM FRAGMENTATION AND COAGULATION PROCESSES (HB)
RANDOM GRAPHS (HB)
RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS (PB)
RANDOM WALKS ON INFINITE GRAPHS AND GROUPS (HB)
REAL ANALYSIS AND PROBABILITY (HB)
REFLECTION GROUPS AND COXETER GROUPS (PB)
REPRESENTATIONS AND CHARACTERS OF FINITE GROUPS (HB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS
REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS (HB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 2, COHOMOLOGY OF GROUPS AND MODULES
REPRESENTATIONS AND COHOMOLOGY: VOLUME 2, COHOMOLOGY OF GROUPS AND MODULES (HB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 2, COHOMOLOGY OF GROUPS AND MODULES (PB)
REPRESENTATIONS OF NILPOTENT LIE GROUPS AND THEIR APPLICATIONS: VOLUME 1, PART 1, BASIC THEORY AND EXAMPLES (PB)
RESULTS AND PROBLEMS IN COMBINATORIAL GEOMETRY
RIEMANNIAN GEOMETRY (PB)
SCHUBERT VARIETIES AND DEGENERACY LOCI (PB)
SOME APPLICATIONS OF MODULAR FORMS (HB)
SOME RANDOM SERIES OF FUNCTIONS (PB)
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
SURVEYS IN COMBINATORICS (PB)
THE GEOMETRY OF FRACTAL SETS (PB)
THE HARDY-LITTLEWOOD METHOD (HB)
THE LEBESGUE INTEGRAL (PB)
THE LEVY LAPLACIAN (HB)
THE LOGARITHMIC INTEGRAL (PB)
THE RIEMANN APPROACH TO INTEGRATION (HB)
THE THEORY OF CLUSTER SETS (PB)
TOLERANCE GRAPHS (HB)
TOPICS IN ERGODIC THEORY (PB)
TOPICS IN METRIC FIXED POINT THEORY (HB)
ULTRAMETRIC CALCULUS (PB)
WAVELETS AND OPERATORS (PB)

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