000			03230nam a22004813i 4500
001			EBC3114119
003			MiAaPQ
005			20240729124600.0
006			m o d |
007			cr cnu||||||||
008			240724s2010 xx o ||||0 eng d
020			_a9781470405717 _q(electronic bk.)
020			_z9780821848227
035			_a(MiAaPQ)EBC3114119
035			_a(Au-PeEL)EBL3114119
035			_a(CaPaEBR)ebr11039738
035			_a(OCoLC)922981687
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA174.2 -- .C43 2009eb
082	0		_a511.326
100	1		_aChan, Ping-Shun.
245	1	0	_aInvariant Representations of mathrm{GSp}(2) under Tensor Product with a Quadratic Character.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2010.
264		4	_c©2009.
300			_a1 online resource (185 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.204
505	0		_aIntro -- 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aAutomorphisms.
650		0	_aSpectral theory (Mathematics).
650		0	_aTensor products.
650		0	_ap-adic analysis.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aChan, Ping-Shun _tInvariant Representations of mathrm{GSp}(2) under Tensor Product with a Quadratic Character _dProvidence : American Mathematical Society,c2010 _z9780821848227
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114119 _zClick to View
999			_c69650 _d69650