Double Affine Hecke Algebras and Congruence Groups
The most general construction of double affine Artin groups (DAAG) and Hecke algebras (DAHA) associates such objects to pairs of compatible reductive group data. We show that DAAG/DAHA It turns out that the structural intricacies of DAAG/DAHA are captured by the underlying We first give a new Coxete...
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| Hlavní autoři: | , |
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| Médium: | E-kniha Kniha |
| Jazyk: | angličtina |
| Vydáno: |
Providence, Rhode Island
American Mathematical Society
2021
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| Vydání: | 1 |
| Edice: | Memoirs of the American Mathematical Society |
| Témata: | |
| ISBN: | 1470443260, 9781470443269 |
| ISSN: | 0065-9266, 1947-6221 |
| On-line přístup: | Získat plný text |
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Obsah:
- Acknowledgments -- Introduction -- Notation and Conventions -- Affine Root Systems -- A Refinement of Van der Lek’s Presentation -- The Coxeter Presentation -- Automorphisms -- (Anti)Involutions and Diagram Automorphisms -- Reductive Group Data -- Extended Double Affine Artin Groups -- Hecke Algebras -- Combinatorial Results -- Non-Coxeter Groups
- Cover -- Title page -- List of Figures -- List of Tables -- Acknowledgments -- Chapter 1. Introduction -- Chapter 2. Notation and Conventions -- Chapter 3. Affine Root Systems -- Chapter 4. A Refinement of Van der Lek's Presentation -- Chapter 5. The Coxeter Presentation -- Chapter 6. Automorphisms -- Chapter 7. (Anti)Involutions and Diagram Automorphisms -- Chapter 8. Reductive Group Data -- Chapter 9. Extended Double Affine Artin Groups -- Chapter 10. Hecke Algebras -- Appendix A. Combinatorial Results -- Appendix B. Non-Coxeter Groups -- Bibliography -- Back Cover