Adeles and Algebraic Groups / by A. Weil
(Progress in Mathematics ; 23)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Boston, MA : Birkhäuser Boston |
| 出版年 | 1982 |
| 本文言語 | 英語 |
| 大きさ | VI, 126 p : online resource |
書誌詳細を非表示
| 内容注記 | I. Preliminaries on Adele-Geometry 1.1. Adeles 1.2. Adele-spaces attached to algebraic varieties 1.3. Restriction of the basic field II. Tamagawa Measures 2.1. Preliminaries 2.2. The case of an algebraic variety: the local measure 2.3. The global measure and the convergence factors 2.4. Algebraic groups and Tamagawa numbers III. The Linear, Projective and Symplectic Groups 3.1. The zeta-function of a central division algebra 3.2. The projective group of a central division algebra 3.3. Isogenies 3.4. End of proof of Theorem 3.3.1.: central simple algebras 3.5. The symplectic group 3.6. Isogenies for products of linear groups 3.7. Application to some orthogonal and hermitian groups 3.8. The zeta-function of a central simple algebra IV. The other Classical Groups 4.1. Classification and general theorems 4.2. End of proof of Theorem 4.1.3 (types 01, L2(a), S2) 4.3. The local zeta-functions for a quadratic form 4.4. The Tamagawa number (hermitian and quaternionic cases) 4.5. The Tamagawa number of the orthogonal group Appendix 2. (by T. Ono) A short survey of subsequent research on Tamagawa numbers |
|---|---|
| 一般注記 | This volume contains the original lecture notes presented by A. Weil in which the concept of adeles was first introduced, in conjunction with various aspects of C.L. Siegel’s work on quadratic forms. These notes have been supplemented by an extended bibliography, and by Takashi Ono’s brief survey of subsequent research. Serving as an introduction to the subject, these notes may also provide stimulation for further research |
| 著者標目 | *Weil, A. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebraic geometry LCSH:Group theory LCSH:K-theory LCSH:Topological groups LCSH:Lie groups LCSH:Number theory FREE:Mathematics FREE:Number Theory FREE:K-Theory FREE:Group Theory and Generalizations FREE:Algebraic Geometry FREE:Topological Groups, Lie Groups |
| 分 類 | DC23:512.7 |
| 巻冊次 | ISBN:9781468491562 
|
| ISBN | 9781468491562 |
| URL | http://dx.doi.org/10.1007/978-1-4684-9156-2 |
目次／あらすじ