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Representations and Cohomology : Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras - D. J. Benson

Representations and Cohomology

Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras

Paperback

Published: 17th August 1998
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This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion 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 some detail.

"...a very welcome addition to the existing classical literature on representation theory and cohomology of finite groups...fascinating reading for someone who already has a basic knowledge of representation theory and cohomology ...I can recommend this book highly to anyone who works with representation theory and cohomology of finite groups." K. W. Roggenkamp, Mathematical Reviews

Conventions and notations
Introduction
Background material from algebraic topology
Cohomology of groups
Spectral sequences
The Evens norm map and the Steenrod algebra
Varieties for modules and multiple complexes
Group actions and the Steinberg module
Local coefficients on subgroup complexes
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521636537
ISBN-10: 0521636531
Series: Cambridge Studies in Advanced Mathematics (Paperback) : Book 1
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 260
Published: 17th August 1998
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.84 x 15.29  x 1.42
Weight (kg): 0.36
Edition Number: 2