书目名称 | On Characters of Finite Groups |
编辑 | Michel Broué |
视频video | |
概述 | 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.Includes |
丛书名称 | Mathematical Lectures from Peking University |
图书封面 |  |
描述 | .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).. |
出版日期 | Textbook 2017 |
关键词 | Representation theory of groups; BRAUER‘S THEOREM; GRADED REPRESENTATIONS; Drinfeld Double; Characters |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-10-6878-2 |
isbn_softcover | 978-981-13-4964-5 |
isbn_ebook | 978-981-10-6878-2Series ISSN 2197-4209 Series E-ISSN 2197-4217 |
issn_series | 2197-4209 |
copyright | Springer Nature Singapore Pte Ltd. 2017 |