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portada On Characters of Finite Groups (Mathematical Lectures From Peking University)
Type
Physical Book
Publisher
Year
2017
Language
English
Pages
246
Format
Hardcover
ISBN13
9789811068775
Edition No.
1
Categories

On Characters of Finite Groups (Mathematical Lectures From Peking University)

Michel Broué (Author) · Springer · Hardcover

On Characters of Finite Groups (Mathematical Lectures From Peking University) - Michel Broué

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Synopsis "On Characters of Finite Groups (Mathematical Lectures From Peking University)"

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).

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