Michel Broué

On Characters of Finite Groups (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Nature Singapore
• Seitenzahl: 246
• Erscheinungstermin: 29. Dezember 2017
• Englisch
• ISBN-13: 9789811068782
• Artikelnr.: 53059341

Autorenporträt

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.

Inhaltsangabe

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

Rezensionen

"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)