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Record Nr. |
UNINA9910480626303321 |
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Autore |
Chan Ping-Shun <1978-> |
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Titolo |
Invariant representations of GSp(2) under tensor product with a quadratic character / / Ping-Shun Chan |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (172 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 204, Number 957 |
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Disciplina |
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Soggetti |
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Automorphisms |
Spectral theory (Mathematics) |
Tensor products |
p-adic analysis |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 204, Number 957 (first of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. An Overview""; ""1.2. -Invariant Automorphic Representations""; ""1.3. Local Character Identities""; ""1.4. Statement of Main Results""; ""1.5. Acknowledgments""; ""Chapter 2. -Endoscopy for GSp(2)""; ""2.1. Endoscopic Data""; ""2.2. Endoscopic group H1""; ""2.3. Endoscopic group H2""; ""2.4. Norm Correspondence""; ""2.5. Matching Functions""; ""Chapter 3. The Trace Formula""; ""3.1. The Fine -Expansion""; ""3.2. Comparison of the Geometric Sides of Trace Formulas""; ""3.3. Application of the Kottwitz-Shelstad Formula"" |
""Chapter 4. Global Lifting""""4.1. The -Trace Identity""; ""4.2. Frobenius-Hecke Classes""; ""4.3. Packets""; ""4.4. Contributions""; ""4.5. Some Global Lifting Results""; ""4.6. Final Words""; ""Chapter 5. The Local Picture""; ""5.1. Parabolically Induced Representations""; ""5.2. Parabolically Induced Representations---Split Case""; ""5.3. Character Identities for Unstable Packets""; ""5.4. Character Identities for Stable Packets""; ""Appendix A. Summary of Global Lifting""; ""A.1. Unstable (quasi-)packets of G""; ""A.2. Stable (quasi-)packets""; ""A.3. Induced |
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