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Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors
| Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie groups
p-adic groups Harmonic analysis |
| ISBN | 0-8218-8222-8 |
| Classificazione | 22E5011F7022E3520G2520C3320G4020G05 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- Toward a Mackey formula for compact restriction of character sheaves -- Supercuspidal characters of SL2 over a p-adic field -- 1. Introduction -- 2. Field extensions -- 3. Tori -- 4. A principal-value integral -- 5. The building and filtrations -- 6. Haar measure -- 7. Duality, Fourier transforms, and orbital integrals -- 8. Unrefined minimal K-types -- 9. Representations of depth zero -- 10. Representations of positive depth -- 11. Parametrization of supercuspidal representations -- 12. Inducing representations -- 13. Murnaghan-Kirillov theory -- 14. "Ordinary" supercuspidal characters -- 15. "Exceptional" supercuspidal characters -- References -- Geometric structure in the representation theory of reductive p-adic groups II -- The construction of Hecke algebras associated to a Coxeter group -- 1. The Hecke algebras of finite reductive groups -- 2. Coxeter groups -- 3. The Hecke algebra of a Coxeter group -- 4. Generators and relations -- 5. References -- Distinguished supercuspidal representations of SL2 -- 1. Introduction -- 2. Elliptic tori -- 3. Involutions of SL2 -- 4. Multiplicity constants -- 5. Supercuspidal representations -- 6. Distinguished toral supercuspidal representations -- 7. Distinguished depth-zero supercuspidal representations -- Appendix A. The building and the Moy-Prasad groups -- References -- Twisted Levi sequences and explicit types on Sp4 -- Regularity and distinction of supercuspidal representations -- Patterns in branching rules for irreducible representations of SL2(k), for k a p-adic field -- Parametrizing nilpotent orbits in p-adic symmetric spaces -- An integration formula of Shahidi -- Managing metaplectiphobia: Covering p-adic groups. |
| Record Nr. | UNINA-9910788635003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors
| Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie groups
p-adic groups Harmonic analysis |
| ISBN | 0-8218-8222-8 |
| Classificazione | 22E5011F7022E3520G2520C3320G4020G05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- Toward a Mackey formula for compact restriction of character sheaves -- Supercuspidal characters of SL2 over a p-adic field -- 1. Introduction -- 2. Field extensions -- 3. Tori -- 4. A principal-value integral -- 5. The building and filtrations -- 6. Haar measure -- 7. Duality, Fourier transforms, and orbital integrals -- 8. Unrefined minimal K-types -- 9. Representations of depth zero -- 10. Representations of positive depth -- 11. Parametrization of supercuspidal representations -- 12. Inducing representations -- 13. Murnaghan-Kirillov theory -- 14. "Ordinary" supercuspidal characters -- 15. "Exceptional" supercuspidal characters -- References -- Geometric structure in the representation theory of reductive p-adic groups II -- The construction of Hecke algebras associated to a Coxeter group -- 1. The Hecke algebras of finite reductive groups -- 2. Coxeter groups -- 3. The Hecke algebra of a Coxeter group -- 4. Generators and relations -- 5. References -- Distinguished supercuspidal representations of SL2 -- 1. Introduction -- 2. Elliptic tori -- 3. Involutions of SL2 -- 4. Multiplicity constants -- 5. Supercuspidal representations -- 6. Distinguished toral supercuspidal representations -- 7. Distinguished depth-zero supercuspidal representations -- Appendix A. The building and the Moy-Prasad groups -- References -- Twisted Levi sequences and explicit types on Sp4 -- Regularity and distinction of supercuspidal representations -- Patterns in branching rules for irreducible representations of SL2(k), for k a p-adic field -- Parametrizing nilpotent orbits in p-adic symmetric spaces -- An integration formula of Shahidi -- Managing metaplectiphobia: Covering p-adic groups. |
| Record Nr. | UNINA-9910821760703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||