Representations and Cohomology: Volume 1, Basic Representatio... - 9780521361347

Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative AlgebrasAuthor(s): D. J. Benson\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521361347, 978-0521361347\nSynopsis\nThis 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 (AuslanderReiten) representation theory of finite dimensional algebras, in which the techniques .