LEADER 03295nam 2200613 450 001 9910827647203321 005 20170822144125.0 010 $a1-4704-0571-7 035 $a(CKB)3360000000465141 035 $a(EBL)3114119 035 $a(SSID)ssj0000889006 035 $a(PQKBManifestationID)11483292 035 $a(PQKBTitleCode)TC0000889006 035 $a(PQKBWorkID)10866178 035 $a(PQKB)11212339 035 $a(MiAaPQ)EBC3114119 035 $a(RPAM)16021656 035 $a(PPN)195418468 035 $a(EXLCZ)993360000000465141 100 $a20150417h20092009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aInvariant representations of GSp(2) under tensor product with a quadratic character /$fPing-Shun Chan 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009. 210 4$dİ2009 215 $a1 online resource (172 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 204, Number 957 300 $a"Volume 204, Number 957 (first of 5 numbers)." 311 $a0-8218-4822-4 320 $aIncludes bibliographical references and index. 327 $a""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"" 327 $a""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"" 327 $a""Appendix B. Fundamental Lemma""""B.1. Norm Correspondence---Elliptic Elements""; ""B.2. Comparison of Orbital Integrals""; ""Bibliography""; ""List of Symbols""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 204, Number 957. 606 $aAutomorphisms 606 $aSpectral theory (Mathematics) 606 $aTensor products 606 $ap-adic analysis 615 0$aAutomorphisms. 615 0$aSpectral theory (Mathematics) 615 0$aTensor products. 615 0$ap-adic analysis. 676 $a511.326 700 $aChan$b Ping-Shun$f1978-$01638682 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827647203321 996 $aInvariant representations of GSp(2) under tensor product with a quadratic character$93981263 997 $aUNINA