Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras: 30 (Cambridge Studies in Advanced Mathematics, Series Number 30) - Hardcover

Benson, D. J.

 
9780521361347: Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras: 30 (Cambridge Studies in Advanced Mathematics, Series Number 30)
Hardcover
ISBN 10: 0521361346 ISBN 13: 9780521361347
Publisher: Cambridge University Press, 1991

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.

"synopsis" may belong to another edition of this title.

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

This volume is a self-contained introduction to the ideas needed to understand modern developments in the representation theory of finite groups and associative algebras. Much of the material presented here has never appeared before in book form.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
1991
Language
English
ISBN 10 
0521361346
ISBN 13 
9780521361347
Binding
Hardcover
Number of pages
260

Other Popular Editions of the Same Title

9780521636537: Representations and Cohomology v1: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras: 30 (Cambridge Studies in Advanced Mathematics, Series Number 30)

Featured Edition

ISBN 10:  0521636531 ISBN 13:  9780521636537
Publisher: Cambridge University Press, 2008
Softcover