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

ISBN：

978-7-04-050303-6

版面字数：

250.000千字

开本：

16开

全书页数：

暂无

装帧形式：

精装

重点项目：

暂无

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

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
- 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