(Ebook) Representation Theory of Finite Groups: a Guidebook by David A. Craven ISBN 9783030217914, 9783030217921, 3030217914, 3030217922, B07XTJB41D

(Ebook) Representation Theory of Finite Groups: a Guidebook by David A. Craven ISBN 9783030217914, 9783030217921, 3030217914, 3030217922, B07XTJB41D

Mathematics Subject Classification (2010): • 20C20 Modular representations and characters • 20C15 Ordinary representations and characters • 20C30 Representations of finite symmetric groups • 20C33 Representations of finite groups of Lie type • 20C08 Hecke algebras and their representations

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 the book are block theory and module theory of group representations, which are comprehensively surveyed with a full bibliography. The individual chapters cover a range of topics within the subject, from blocks with cyclic defect groups to representations of symmetric groups.Assuming only modest background knowledge at the level of a first graduate course in algebra, this guidebook, intended for students taking first steps in the field, will also provide a reference for more experienced researchers. Although no proofs are included, end-of-chapter exercises make it suitable for student seminars.