Representations and cohomology. [EBook] / D. J. Benson. 1, Basic representation theory of finite groups and associative algebras
Representations and cohomology. [EBook] / D. J. Benson. 1, Basic representation theory of finite groups and associative algebras
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 a...
Personal Name(s):  Benson, D. J., (author) 

Edition: 
[New print with corrections]. 
Imprint: 
Cambridge :
Cambridge University Press,
1995

Physical Description: 
1 online resource (xi, 246 pages) 
Note: 
englisch 
ISBN: 
9780511623615 9780521636537 9780521361347 
Series Title: 
Cambridge studies in advanced mathematics ;
30 
Subject (LOC):  
Full Text 
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 selfcontained 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 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. 