顶部
收藏

Notes on Jacquet-Langlands' Theory (英文版


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:
250千字
开本:
16开
全书页数:
暂无
装帧形式:
平装
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

相关图书