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Mathematical Lectures from Peking University

On Characters of Finite Groups

Authors: Broué, Michel

  • Reveals the beauty of character theory of finite groups
  • Familiarizes readers with the language of categories
  • Offers readers broader coverage than books that focus almost exclusively on groups
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Buy this book

eBook 35,69 €
price for India (gross)
  • ISBN 978-981-10-6878-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 44,99 €
price for India (gross)
  • ISBN 978-981-10-6877-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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).

About the authors

Michel Broué is Emeritus Exceptional Professor of Mathematics at the University Paris-Diderot Paris 7. He has been the Director of the Institut Henri-Poincaré in Paris (1999-2009), and the Director of the Department of Mathematics and Computer Science (DMI) at the École normale supérieure (1986-1993)

He is a Foreign Honorary Member of the American Academy of Arts and Sciences, a Fellow of the American Mathematical Society,  a Senior Member of the Institut Universitaire de France, and a frequent visitor to many institutions in the world. 

He is the Editor-in-chief of the Journal of Algebra, and a member of several editorial boards. His main research area is Algebra and Representation Theory, in particular of finite and algebraic groups.

Reviews

“The book is written by one of the best character theorists, and he has done a great job. I am sure, teachers and students interested in character theory both enjoy reading this book.” (Mohammad-Reza Darafsheh, zbMATH 1391.20001, 2018)

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Table of contents (8 chapters)

  • Tensor Product

    Broué, Michel

    Pages 1-18

  • On Representations

    Broué, Michel

    Pages 19-39

  • Characteristic 0 Representations

    Broué, Michel

    Pages 41-89

  • PLAYING with the BASE FIELD

    Broué, Michel

    Pages 91-110

  • Induction, Restriction

    Broué, Michel

    Pages 111-129

Buy this book

eBook 35,69 €
price for India (gross)
  • ISBN 978-981-10-6878-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 44,99 €
price for India (gross)
  • ISBN 978-981-10-6877-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
On Characters of Finite Groups
Authors
Series Title
Mathematical Lectures from Peking University
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-6878-2
DOI
10.1007/978-981-10-6878-2
Hardcover ISBN
978-981-10-6877-5
Series ISSN
2197-4209
Edition Number
1
Number of Pages
XVI, 246
Number of Illustrations
4 b/w illustrations, 5 illustrations in colour
Topics