EAN: 9789811349645

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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