Representation Theory of Finite Groups: a Guidebook

• Main Author: Craven, David A. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Universitext,
• Subjects: Group theory.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Group Theory and Generalizations.; Associative Rings and Algebras.; Category Theory, Homological Algebra.

This book provides an accessible introduction to the state of the art of representation theory of finite groups. Starting from a basic level that is summarized at the start, the book proceeds to cover topics of current research interest, including open problems and conjectures. The central themes of...

Table of Contents:

• 1 The Basics
• 2 Blocks and Their Characters
• 3 Modules
• 4 The Local-Global Principle
• 5 Blocks with Cyclic Defect Groups
• 6 Blocks with Non-Cyclic Defect Groups
• 7 Clifford Theory
• 8 Representation of Symmetric Groups
• 9 Representations of Groups of Lie Type
• References
• Index.