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

ISBN: 0521636531

Author: Benson, D. J.

Condition: New

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.