<電子ブック>
Reflection Groups and Invariant Theory / by Richard Kane
(CMS Books in Mathematics, Ouvrages de mathématiques de la SMC. ISSN:21974152)
版 | 1st ed. 2001. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2001 |
本文言語 | 英語 |
大きさ | IX, 379 p : online resource |
著者標目 | *Kane, Richard author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Geometry FREE:Analysis FREE:Geometry |
一般注記 | I Reflection groups -- 1 Euclidean reflection groups -- 2 Root systems -- 3 Fundamental systems -- 4 Length -- 5 Parabolic subgroups -- II Coxeter groups -- 6 Reflection groups and Coxeter systems -- 7 Bilinear forms of Coxeter systems -- 8 Classification of Coxeter systems and reflection groups -- III Weyl groups -- 9 Weyl groups -- 10 The Classification of crystallographic root systems -- 11 Affine Weyl groups -- 12 Subroot systems -- 13 Formal identities -- IV Pseudo-reflection groups -- 14 Pseudo-reflections -- 15 Classifications of pseudo-reflection groups -- V Rings of invariants -- 16 The ring of invariants -- 17 Poincaré series -- 18 Nonmodular invariants of pseudo-reflection groups -- 19 Modular invariants of pseudo-reflection groups -- VI Skew invariants -- 20 Skew invariants -- 21 The Jacobian -- 22 The extended ring of invariants -- VII Rings of covariants -- 23 Poincaré series for the ring of covariants -- 24 Representations of pseudo-reflection groups -- 25 Harmonic elements -- 26 Harmonics and reflection groups -- VIII Conjugacy classes -- 27 Involutions -- 28 Elementary equivalences -- 29 Coxeter elements -- 30 Minimal decompositions -- IX Eigenvalues -- 31 Eigenvalues for reflection groups -- 32 Eigenvalues for regular elements -- 33 Ring of invariants and eigenvalues -- 34 Properties of regular elements -- Appendices -- A Rings and modules -- B Group actions and representation theory -- C Quadratic forms -- D Lie algebras -- References Reflection Groups and their invariant theory provide the main themes of this book and the first two parts focus on these topics. The first 13 chapters deal with reflection groups (Coxeter groups and Weyl groups) in Euclidean Space while the next thirteen chapters study the invariant theory of pseudo-reflection groups. The third part of the book studies conjugacy classes of the elements in reflection and pseudo-reflection groups. The book has evolved from various graduate courses given by the author over the past 10 years. It is intended to be a graduate text, accessible to students with a basic background in algebra. Richard Kane is a professor of mathematics at the University of Western Ontario. His research interests are algebra and algebraic topology. Professor Kane is a former President of the Canadian Mathematical Society HTTP:URL=https://doi.org/10.1007/978-1-4757-3542-0 |
目次/あらすじ
所蔵情報を非表示
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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9781475735420 |
|
電子リソース |
|
EB00229378 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000106971 |
ISBN | 9781475735420 |
類似資料
この資料の利用統計
このページへのアクセス回数:5回
※2017年9月4日以降