Representation theory of real reductive Lie groups : AMS-IMS-SIAM Joint Summer Research Conference, June 4-8, 2006, Snowbird, Utah / / James Arthur, Wilfried Schmid, Peter E. Trapa, editors
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| Titolo: |
Representation theory of real reductive Lie groups : AMS-IMS-SIAM Joint Summer Research Conference, June 4-8, 2006, Snowbird, Utah / / James Arthur, Wilfried Schmid, Peter E. Trapa, editors
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| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| ©2008 | |
| Descrizione fisica: | 1 online resource (258 p.) |
| Disciplina: | 512/.482 |
| Soggetto topico: | Representations of Lie groups |
| Persona (resp. second.): | ArthurJames <1944-> |
| SchmidWilfried <1943-> | |
| TrapaPeter E. <1974-> | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Preface""; ""Guide to the Atlas Software: Computational Representation Theory of Real Reductive Groups""; ""Problems for Real Groups""; ""1. Endoscopic transfer""; ""2. Endoscopic character identities""; ""3. Orthogonality relations""; ""4. Weighted orbital integrals""; ""5. Intertwining operators and residues""; ""6. Twisted groups""; ""7. Trace identities for intertwining operators""; ""8. Construction of A-packets""; ""9. Properties of A-packets""; ""10. Functorial transfer""; ""References""; ""Unitarizable Minimal Principal Series of Reductive Groups""; ""1. Introduction"" |
| ""2. Minimal principal series for real groups""""3. Graded Hecke algebra and p-adic groups""; ""4. Petite K-types for split real groups""; ""5. Spherical unitary dual""; ""6. Lists of unitary spherical parameters""; ""References""; ""Computations in Real Tori""; ""Weighted Orbital Integrals""; ""Introduction to Endoscopy""; ""1. Introduction""; ""1.1. What is endoscopy about?""; ""1.2. The contents of these lectures""; ""2. Some basic definitions""; ""2.1. Orbital integrals""; ""2.2. Pseudo-coefficients for discrete series""; ""2.3. Stable conjugacy""; ""2.4. L-packets"" | |
| ""2.5. Arthur packets""""2.6. The Weil and the Langlands groups""; ""2.7. L-groups and Langlands parameters""; ""3. GL(2)""; ""3.1. Representations of GL(2,R)""; ""3.2. Langlands parameters for G L(2, R)""; ""3.3. Endoscopy for GL(2, F)""; ""4. SL(2)""; ""4.1. Endoscopy for SL(2, R)""; ""4.2. Representations of SL(2, R)""; ""4.3. Langlands parameters for SL(2, R)""; ""4.4. Character identities""; ""4.5. Asymptotic behaviour of orbital integrals and geometric transfer""; ""5. U(2, 1)""; ""5.1. Endoscopy for U(2, 1)""; ""5.2. Discrete series and transfer for U(2, 1)"" | |
| ""5.3. The dual picture for U(2, 1)""""6. Galois cohomology and Endoscopy""; ""6.1. Non abelian hypercohomology""; ""6.2. Galois cohomology and abelianized cohomology""; ""6.3. Stable conjugacy and k-orbital integrals""; ""6.4. Stable conjugacy and compact Cartan subgroups over R""; ""6.5. Endoscopic groups""; ""6.6. The dual picture""; ""6.7. Endoscopic transfer""; ""7. Discrete series and endoscopy""; ""7.1. L-packets of discrete series over R""; ""7.2. General Discrete transfer""; ""8. Further developments""; ""8.1. K-groups""; ""8.2. The twisted case"" | |
| ""8.3. Trace formula stabilization""""9. Bibliography""; ""Tempered Endoscopy for Real Groups I: Geometric Transfer with Canonical Factors"" | |
| Titolo autorizzato: | Representation theory of real reductive Lie groups |
| ISBN: | 0-8218-8151-5 |
| 0-8218-4366-4 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910822593503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Contemporary mathematics (American Mathematical Society) ; ; v. 472.