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Hecke algebras /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island, United States :
American Mathematical Society,
1990.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 87, no. 435. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Table of Contents
- Introduction
- Chapter I: The Abstract Hecke Algebra
- 1. The Group Algebra
- 2. Formal Linear Combinations of Right and Double Cosets
- 3. Hecke Pairs
- 4. The Product
- 5. The Symmetric Group as an Example
- 6. Isomorphisms of Hecke Algebras
- 7. Anti-Homomorphisms
- 8. The Canonical Bilinear Form
- Remarks
- Chapter II: Structure Theory of Hecke Algebras for Finite Groups
- 1. Maschke's Theorem for Hecke Algebras
- 2. The Use of Group Algebras
- 3. Hecke Algebras of Small Dimension
- ""4. Quadratic Residues and Non-Residues""""5. The Canonical Involution on the Hecke Algebra""; ""Remarks""; ""Chapter III: Examples of Hecke Algebras for Finite Groups""; ""1. The Dihedral Group""; ""2. The Integral Orthogonal Group""; ""3. The Symmetric Group""; ""4. A Borel Subgroup of the General Linear Group over a Finite Field""; ""5. A Maximal Parabolic Subgroup""; ""Remarks""; ""Chapter IV: The Hecke Algebra Associated with SL(2; Z)""; ""1. Right Coset Decompositions""; ""2. Double Coset Decompositions""; ""3. The Hecke Algebra Associated with (Î?,M)""
- ""4. The Primary Component H[sub(p)]""""5. An Embedding""; ""6. Congruence Subgroups""; ""7. The Hecke Algebra Associated with Î?[sub(0)](q)""; ""Remarks""; ""Chapter V: The Hecke Algebra Associated with the Unimodular Group""; ""1. The Unimodular Group""; ""2. The Elementary Divisor Theorem""; ""3. Elementary Divisors""; ""4. q-Kernels""; ""5. Right Coset Decompositions""; ""6. The Hecke Algebra Associated with (u[sub(n)],Inv(n; Z))""; ""7. Particular Double Cosets in the Primary Component""; ""8. The Primary Component""; ""9. Formal Power Series""; ""10. The Hecke Algebra over Q""
- ""11. An Embedding""""Remarks""; ""Chapter VI: The Hecke Algebra Associated with the Slegel Modular Group""; ""1. Symplectic Similitudes""; ""2. The Symplectic Elementary Divisor Theorem""; ""3. Right Coset Decompositions""; ""4. The Hecke Algebra Associated with (Î?[sub(n)],Î?[sub(n)])""; ""5. Particular Double Cosets in the Primary Component""; ""6. The Primary Component""; ""7. The Commutation Relation with the Siegel Î?-Operator""; ""8. A Rationality Theorem for n = 2""; ""Remarks""; ""References""