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On Characters of Finite Groups / by Michel Broué
(Mathematical Lectures from Peking University. ISSN:21974217)
版 | 1st ed. 2017. |
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出版者 | Singapore : Springer Nature Singapore : Imprint: Springer |
出版年 | 2017 |
大きさ | XVI, 246 p. 9 illus., 5 illus. in color : online resource |
著者標目 | *Broué, Michel author SpringerLink (Online service) |
件 名 | LCSH:Group theory LCSH:Algebra, Homological FREE:Group Theory and Generalizations FREE:Category Theory, Homological Algebra |
一般注記 | Tensor Product.-On Representation.-Characteristic 0 representations.-Playing with the base field -- Induction, restriction -- Brauer's theorem and some applications -- Graded representations and characters -- Drinfeld Double -- Appendix A. Basics on Finite Groups -- Appendix B. Assumed results on Galois theory -- Appendix C. Integral elements -- Appendix D. Noetherian rings and modules -- Appendix E. The language of categories and functors -- Bibliography 211.-Index 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) HTTP:URL=https://doi.org/10.1007/978-981-10-6878-2 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789811068782 |
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EB00200415 |
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