03295nam 2200613 450 991082764720332120170822144125.01-4704-0571-7(CKB)3360000000465141(EBL)3114119(SSID)ssj0000889006(PQKBManifestationID)11483292(PQKBTitleCode)TC0000889006(PQKBWorkID)10866178(PQKB)11212339(MiAaPQ)EBC3114119(RPAM)16021656(PPN)195418468(EXLCZ)99336000000046514120150417h20092009 uy 0engur|n|---|||||txtccrInvariant representations of GSp(2) under tensor product with a quadratic character /Ping-Shun ChanProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (172 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 204, Number 957"Volume 204, Number 957 (first of 5 numbers)."0-8218-4822-4 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Volume 204, Number 957.AutomorphismsSpectral theory (Mathematics)Tensor productsp-adic analysisAutomorphisms.Spectral theory (Mathematics)Tensor products.p-adic analysis.511.326Chan Ping-Shun1978-1638682MiAaPQMiAaPQMiAaPQBOOK9910827647203321Invariant representations of GSp(2) under tensor product with a quadratic character3981263UNINA