Modular Representation Theory of Finite Groups

• Main Author: Schneider, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2013.
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Group theory.; Associative Rings and Algebras.; Group Theory and Generalizations.

Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavours. In the 'semisimple case' (for example over the field of complex numbers) one can use character theory to completel...

Table of Contents:

• Prerequisites in module theory
• The Cartan{Brauer triangle
• The Brauer character
• Green's theory of indecomposable modules
• Blocks.