000			03361nam a22004693i 4500
001			EBC3113861
003			MiAaPQ
005			20240729124552.0
006			m o d |
007			cr cnu||||||||
008			240724s1992 xx o ||||0 eng d
020			_a9781470409029 _q(electronic bk.)
020			_z9780821825396
035			_a(MiAaPQ)EBC3113861
035			_a(Au-PeEL)EBL3113861
035			_a(CaPaEBR)ebr10918814
035			_a(OCoLC)851086149
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA247 -- .H354 1992eb
082	0		_a512/.74
100	1		_aHales, Thomas C.
245	1	0	_aSubregular Germ of Orbital Integrals.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1992.
264		4	_c©1992.
300			_a1 online resource (161 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.99
505	0		_aIntro -- Contents -- Introduction -- I. Basic Constructions -- 1. Background Information -- 2. The Igusa Variety -- 3. The Variety S[sup(0)] -- 4. The Morphism S[sub(1)] → S -- 5. Cocycles -- 6. The Data -- II. Coordinates and Coordinate Relations -- 1. The Coordinates x(W,(β) -- 2. The Coordinates ω(β) -- 3. The Extension of ω(β) to Y -- 4. The Coordinate Ring -- 5. A Computation of t[sup(-1)]n[sup(-1)]tn -- 6. A Technical Lemma -- 7. Application to G[sub(2)] -- 8. The Functions n[sub(γ)] -- 9. The Fundamental Divisors on Y[sub(Γ)] -- III. Groups of Rank Two -- 1. Zero Patterns -- 2. Coordinate Relations -- 3. Exclusion of Spurious Divisors (rank two) -- IV. The Subregular Spurious Divisor -- 1. Subregular Unipotent Conjugacy Classes -- 2. Exclusion of Spurious Divisors -- 3. The graph Γ[sub(0)] -- 4. The Modified Star -- 5. Weyl Chambers -- 6. A Lemma about Cells -- 7. Contact -- 8. Assumption 3.1 -- V. The Subregular Fundamental Divisor -- 1. Regularity -- 2. Igusa Theory and Measures -- 3. Principal Value Integrals at Points of E[sub(α)] ∩ E[sub(β)] -- 4. Igusa Data for Interchanged Divisors -- 5. Transition Functions -- 6. Coordinate Relations -- VI. Rationality and Characters -- 1. Rationality -- 2. The Characters k(E[sub(α)]) -- 3. m[sub(k)](e) and the Vanishing of Integrals -- VII. Applications to Endoscopic Groups -- 1. Endoscopic Groups -- 2. Characters, Centers, and Endoscopic Groups -- 3. Compatibility of Characters -- 4. Stable Orbital Integrals -- 5. Unitary Groups -- References -- Notation and Conventions.
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	_ap-adic fields.
650		0	_aRepresentations of groups.
650		0	_aGerms (Mathematics).
655		4	_aElectronic books.
776	0	8	_iPrint version: _aHales, Thomas C. _tSubregular Germ of Orbital Integrals _dProvidence : American Mathematical Society,c1992 _z9780821825396
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113861 _zClick to View
999			_c69392 _d69392