Notes on Jacquet-Langlands' Theory （英文版） Jacquet-Langlands 理论

样章

作者：

Roger Godement （罗杰·戈德门特）

定价：

79.00 元

版面字数：

250千字

开本：

16开

装帧形式：

精装

版次：

最新版次
印刷时间：

2018年

ISBN：

978-7-04-050303-6

物料号：

50303-00

出版时间：

2018-09-25

读者对象：

学术著作

一级分类：

自然科学

二级分类：

数学与统计

三级分类：

函数论

暂无

目录
- 前辅文
- 1 Representations of the GL2 Group of a p-adic Field
  - 1. Admissible representations
  - 2. The Kirillov model: preliminary construction
  - 3. The commutativity lemma
  - 4. The finiteness property
  - 5. Whittaker functions
  - 6. A theoremon the contragredient of a representation
  - 7.supercuspidal representations
  - 8. Introduction to the principalseries
  - 9. A lemma on Fourier transforms
  - 10. The principalseries and thespecial representations
  - 11. The equivalence πμ1,μ2∼ πμ2,μ1
  - 12. The fundamental functional equation
  - 13. Computation of γπ(χ,s) for the principalseries and the special representations
  - 14. The local factors Lπ(χ,s)
  - 15. The factors επ(χ,s)
  - 16. The case ofspherical representations
  - 17. Unitary representations: results
  - 18. Unitary representations: thesupercuspidal case
  - 19. Unitary representations in the principalseries
  - 20. Unitary representations: thespecial case
- 2 The Archimedean Case
  - 1. Admissible representations
  - 2. The representations ρμ1,μ2
  - 3. Irreducible components of ρμ1,μ2 (case F =R)
  - 4. Irreducible components of ρμ1,μ2 (case F =C)
  - 5. Kirillov model for an irreducible representation
  - 6. The functions LW (g;χ,s)
  - 7. Factors Lπ(χ,s)
  - 8. Factors επ(χ,s)
- 3 TheGlobalTheory
  - 1. Parabolic forms
  - 2. Local decomposition of an irreducible representation of GA
  - 3. The globalHecke algebra
  - 4. GlobalWhittakermodels
  - 5. Themultiplicity one theorem
  - 6. Euler product attached to an irreducible representation of GA
  - 7. The functional equation for Lπ(χ,s)
  - 8. The converse of Theorem4