On Characters of Finite Groups

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...

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Bibliographic Details
Main Author: Broué, Michel
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2017, 2017
Edition:1st ed. 2017
Series:Mathematical Lectures from Peking University
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Tensor Product.-On Representation.-Characteristic 0 representations.-Playing with the base field
  • Induction, restriction
  • Brauer's theorem and some applications
  • Graded representations and characters
  • Drinfeld Double
  • Appendix A. Basics on Finite Groups
  • Appendix B. Assumed results on Galois theory
  • Appendix C. Integral elements
  • Appendix D. Noetherian rings and modules
  • Appendix E. The language of categories and functors
  • Bibliography 211.-Index