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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Main Author: Broué, Michel
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language: English
Published: Singapore Springer Singapore 2017, 2017
Series: Mathematical Lectures from Peking University
Subjects:
Online Access: http://dx.doi.org/10.1007/978-981-10-6878-2?nosfx=y
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Summary: 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)
Physical Description: XVI, 246 p. 9 illus., 5 illus. in color online resource
ISBN: 9789811068782