Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras (Cambridge Studies in Advanced Mathematics, Series Number 30) by D. J. Benson (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “…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 Book Description An introduction to modern developments in the representation theory of finite groups and associative algebras.

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