TY  - BOOK
AU  - Chan,Ping-Shun
TI  - Invariant Representations of mathrm{GSp}(2) under Tensor Product with a Quadratic Character
T2  - Memoirs of the American Mathematical Society
SN  - 9781470405717
AV  - QA174.2 -- .C43 2009eb 
U1  - 511.326 
PY  - 2010///
CY  - Providence
PB  - American Mathematical Society
KW  - Automorphisms
KW  - Spectral theory (Mathematics)
KW  - Tensor products
KW  - p-adic analysis
KW  - Electronic books
N1  - Intro -- 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114119
ER  -