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

by D. J. Benson

Overview

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.

Product Details

ISBN-13:	9780521361347
Publisher:	Cambridge University Press
Publication date:	03/21/1991
Series:	Cambridge Studies in Advanced Mathematics , #30
Pages:	260
Product dimensions:	6.20(w) x 9.10(h) x 1.00(d)

Table of Contents

1. Background material from rings and modules; 2. Homological algebra; 3. Modules for group algebra; 4. Methods from the representation of algebra; 5. Representation rings and Burnside rings; 6. Block theory.

Editorial Reviews

"...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

From the Publisher