图书信息
图书目录
二次型和 Clifford 群的算术和解析理论（影印版）
暂无简介
作者：
Goro Shimura
定价：
135.00元
出版时间：
2023-03-08
ISBN：
978-7-04-059298-6
物料号：
59298-00
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：
代数学
重点项目：
暂无
版面字数：
450.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
- 前辅文
- Chapter I. Algebraic theory of quadratic forms, Clifford algebras, and spin groups
- 1. Quadratic forms and associative algebras
- 2. Clifford algebras
- 3. Clifford groups and spin groups
- 4. Parabolic subgroups
- Chapter II. Quadratic forms, Clifford algebras, and spin groups over a local or global field
- 5. Orders and ideals in an algebra
- 6. Quadratic forms over a local field
- 7. Lower-dimensional cases and the Hasse principle
- 8. Part I. Clifford groups over a local field
- 8. Part II. Formal Hecke algebras and formal Euler factors
- 9. Orthogonal, Clifford, and spin groups over a global field
- Chapter III. Quadratic Diophantine equations
- 10. Quadratic Diophantine equations over a local field
- 11. Quadratic Diophantine equations over a global field
- 12. The class number of an orthogonal group and sums of squares
- 13. Nonscalar quadratic Diophantine equations; Connection with the mass formula
- Chapter IV. Groups and symmetric spaces over R
- 14. Clifford and spin groups over R
- 15. The case of signature (2, m)
- 16. Orthogonal groups over R and symmetric spaces
- Chapter V. Euler products and Eisenstein series on orthogonal groups
- 17. Automorphic forms and Euler products on an orthogonal group
- 18. Eisenstein series on Oω
- 19. Eisenstein series on Oη
- 20. Arithmetic description of the pullback of an Eisenstein series
- 21. Analytic continuation of Euler products and Eisenstein series
- Chapter VI. Euler products and Eisenstein series on Clifford groups
- 22. Euler products on G+(V )
- 23. Eisenstein series on G(H, 2−1η)
- 24. Eisenstein series of general types on a Clifford group
- 25. Euler products for holomorphic forms on a Clifford group
- 26. Proof of the last main theorem
- Appendix
- A1. Differential operators on a semisimple Lie group
- A2. Eigenvalues of integral operators
- A3. Structure of Clifford algebras over R
- A4. An embedding of G1(V ) into a symplectic group
- A5. Spin representations and Lie algebras
- References
- Frequently used symbols
- Index
