000			03916nam a22004933i 4500
001			EBC3113770
003			MiAaPQ
005			20240729124550.0
006			m o d |
007			cr cnu||||||||
008			240724s1992 xx o ||||0 eng d
020			_a9781470408886 _q(electronic bk.)
020			_z9780821825242
035			_a(MiAaPQ)EBC3113770
035			_a(Au-PeEL)EBL3113770
035			_a(CaPaEBR)ebr10918717
035			_a(OCoLC)922981323
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA387 -- .K633 1992eb
082	0		_a512/.55
100	1		_aKobayashi, Toshiyuki.
245	1	0	_aSingular Unitary Representations and Discrete Series for Indefinite Stiefel Manifolds U.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1992.
264		4	_c©1992.
300			_a1 online resource (117 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.95
505	0		_aIntro -- Contents -- 0. Introduction -- 1. Notation -- 1. θ-stable parabolic subalgebra -- 2. good range, fair range -- 3. cohomological parabolic induction -- 4. results from Zuckerman and Vogan -- 5. results from Harish-Chandra and Oshima-Matsuki -- 2. Main results -- 1. G = Spfaq) -- 2. main theorem for G = Sp(p,q) -- 3. G = U(p,q) -- 4. main theorem for G = U(p,q) -- 5. G = SO0(p,q) -- 6. main theorem for G = SOo( p,q) -- 7. list and figures of various conditions on parameters -- 8. remarks -- 3. Further notations and preliminary results -- 1. Jantzen-Zuckerman's translation functor -- 2. induction by stages -- 3. definition of A (λ[omitted] λ') -- 4. A (λ[omitted] λ') and derived functor modules -- 5. some symbols -- 4. Some explicit formulas on K multiplicities -- 1. preliminaries -- 2. some alternating polynomials -- 3. result in quaternionic case -- 4. result in complex case -- 5. result in real case -- 6. some auxiliary lemmas -- 7. proof for quarternionic case -- 8. proof for complex case -- 9. proof for real case -- 5. An alternative proof of the sufficiency for R[sup(s)][sub(q)](Cλ)≠ 0 -- 1. theorem: sufficient condition for R[sup(s)][sub(q)](Cλ)≠ 0 -- 2. key lemmas -- 3. proof of the combinatorial part -- 6. Proof of irreducibility results -- 1. irreducibility in the fair range -- 2. twisted differential operators -- 3. theorem -- 4. irreducibility result -- 5. Vogan's idea on the translation principle for Ay(l:g) -- 6. notations about GL{nz,C) and Sp(n,C) -- 7. definition of Cλ -- 8. verification of (6.5.4)(a) -- 9. verification of (6.5.4)(b) -- 10. verification of (6.5.4)(c) -- 11. proof of Corollary(6.4.1) -- 7. Proof of vanishing results outside the fair range -- 1. proof in complex case -- 2. vanishing result in quaternionic case -- 3. maximal parabolic case -- 4. general parabolic case -- 8. Proof of the inequivalence results.
505	8		_a1. quarternionic case -- 2. orthogonal case -- References.
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	_aSemisimple Lie groups.
650		0	_aRepresentations of groups.
650		0	_aHarmonic analysis.
650		0	_aStiefel manifolds.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aKobayashi, Toshiyuki _tSingular Unitary Representations and Discrete Series for Indefinite Stiefel Manifolds U _dProvidence : American Mathematical Society,c1992 _z9780821825242
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113770 _zClick to View
999			_c69301 _d69301