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On Characters of Finite Groups

  • Michel Broué

Part of the Mathematical Lectures from Peking University book series (MLPKU)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Michel Broué
    Pages 1-18
  3. Michel Broué
    Pages 19-39
  4. Michel Broué
    Pages 41-89
  5. Michel Broué
    Pages 91-110
  6. Michel Broué
    Pages 111-129
  7. Michel Broué
    Pages 131-154
  8. Michel Broué
    Pages 155-177
  9. Michel Broué
    Pages 179-215
  10. Back Matter
    Pages 217-246

About this book

Introduction

This book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is now better suited for graduate courses, and provides broader coverage than books that focus almost exclusively on groups.

The book presents the basic tools, notions and theorems of character theory (including a new treatment of the control of fusion and isometries), and introduces readers to the categorical language at several levels. It includes and proves the major results on characteristic zero representations without any assumptions about the base field. The book includes a dedicated chapter on graded representations and applications of polynomial invariants of finite groups, and its closing chapter addresses the more recent notion of the Drinfeld double of a finite group and the corresponding representation of GL_2(Z).

Keywords

Representation theory of groups BRAUER'S THEOREM GRADED REPRESENTATIONS Drinfeld Double Characters

Authors and affiliations

  • Michel Broué
    • 1
  1. 1.Université Paris Diderot Paris 7ParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-6878-2
  • Copyright Information Springer Nature Singapore Pte Ltd. 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-6877-5
  • Online ISBN 978-981-10-6878-2
  • Series Print ISSN 2197-4209
  • Series Online ISSN 2197-4217
  • Buy this book on publisher's site