On Characters of Finite Groups

• Main Author: Broué, Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Mathematical Lectures from Peking University,
• Subjects: Mathematics.; Category theory (Mathematics).; Homological algebra.; Group theory.; Group Theory and Generalizations.; Category Theory, Homological Algebra.

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...

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.