On Characters of Finite Groups (Mathematical Lectures from Peking University) - Softcover

Broué, Michel

Softcover

ISBN 10: 9811349649 ISBN 13: 9789811349645

Verlag: Springer, 2018

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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.

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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).

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2018
• Sprache: Englisch
• ISBN 10: 9811349649
• ISBN 13: 9789811349645
• Einband: Taschenbuch
• Anzahl der Seiten: 264
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland