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On Characters of Finite Groups (Hardcover, 1st ed. 2017)
Loot Price: R1,290
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On Characters of Finite Groups (Hardcover, 1st ed. 2017)
Series: Mathematical Lectures from Peking University
Expected to ship within 10 - 15 working days
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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).
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