Representation theory of finite groups : a guidebook / David A. Craven.

Format:

Book

Author/Creator:

Craven, David A., author.

Series:

Universitext 0172-5939

Universitext, 0172-5939

Language:

English

Subjects (All):

Finite groups.

Representations of groups.

Physical Description:

viii, 294 pages : illustrations ; 24 cm.

Place of Publication:

Cham : Springer, [2019]

Summary:

"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"--Back cover.

Contents:

The Basics

Blocks and Their Characters

Modules

The Local-Global Principle

Blocks with Cyclic Defect Groups

Blocks with Non-Cyclic Defect Groups

Clifford Theory

Representation of Symmetric Groups

Representations of Groups of Lie Type

References

Index.

Notes:

Includes bibliographical references (pages 257-277) and index.

ISBN:

9783030217914

3030217914

OCLC:

1100597521