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Invariant representations of GSp(2) under tensor product with a quadratic character
- Author / Creator
- Available as
- Online
Details
- Creator
- Ping-Shun Chan
- Format
- Books
- Language
- English
- Publication
-
- 1st ed
- Providence, Rhode Island : American Mathematical Society, 2009
- ©2009
- Physical Details
-
- 1 online resource (172 p.)
- ISBNs
- 9781470405717, 1470405717, 0821848224
- "Volume 204, Number 957 (first of 5 numbers)."
- Includes bibliographical references and index.
- English
- ""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 representations""
- ""Appendix B. Fundamental Lemma""""B.1. Norm Correspondence---Elliptic Elements""; ""B.2. Comparison of Orbital Integrals""; ""Bibliography""; ""List of Symbols""; ""Index""