On Characters of Finite Groups

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

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 Includes supplementary material: sn.pub/extras

Autorentext
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.

Zusammenfassung

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

Inhalt
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 <p