Title: Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras (Cambridge Studies in Advanced Mathematics, Series Number 30)
Publisher: Cambridge University Press
Publication Date: 1991
Language: English
ISBN 10: 0521361346
ISBN 13: 9780521361347
Binding: hardcover
Condition: New
Weight: 16 ounces

About this title

Synopsis

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.

Book Description

Now in paperback this is the second of two volumes that will provide an introdcution 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 concentrates on the cohomology of groups, always with representations in view.

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