000			03649nam a22004693i 4500
001			EBC3113782
003			MiAaPQ
005			20240729124550.0
006			m o d |
007			cr cnu||||||||
008			240724s1990 xx o ||||0 eng d
020			_a9781470408428 _q(electronic bk.)
020			_z9780821824825
035			_a(MiAaPQ)EBC3113782
035			_a(Au-PeEL)EBL3113782
035			_a(CaPaEBR)ebr10918735
035			_a(OCoLC)891383999
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA171 -- .I785 1990eb
082	0		_a512/.2
100	1		_aIrving, Ronald S.
245	1	0	_aFiltered Category OS and Applications.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1990.
264		4	_c©1990.
300			_a1 online resource (131 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.83
505	0		_aIntro -- CONTENTS -- I. INTRODUCTION -- 1. INTRODUCTION -- 1.1. Summary -- 1.2. Filtered modules and filtered characters -- 1.3. Projective and self-dual modules -- 1.4. Overview of paper -- 1.5. Acknowledgements -- II. THE HECKE MODULE -- 2. THE SIMPLE AND VERMA BASES -- 2.1. Kazhdan-Lusztig polynomials -- 2.2. The Hecke module: four equivalent definitions -- 2.3. The Hecke module: proof of equivalences -- 2.4. Duality and the simple basis -- 2.5. The Hecke algebra action -- 3. THE PROJECTIVE AND SELF-DUAL BASES -- 3.1. The projective basis -- 3.2. Some elements of the Hecke algebra -- 3.3. An involution of M[sup(*)]sub(s)] -- 3.4. A new self-dual basis -- 4. THE SPECIALIZED HECKE MODULE -- 4.1. Definitions -- 4.2. Duality polynomials -- 4.3. A Jantzen sum formula -- III. THE FILTERED CATEGORY O[sub(s)] -- 5. THE CATEGORY O AND TRANSLATION FUNCTORS -- 5.1. The category and its Grothendieck group -- 5.2. Translation functors -- 6. THE FILTERED CATEGORY O[sub(s)] AND TRANSLATION FUNCTORS -- 6.1. Definition and basic properties of the filtered category -- 6.2. Some important filtrations -- 6.3. Translation functors on the filtered category -- IV. APPLICATIONS -- 7. RADICAL FILTRATIONS OF GENERALIZED VERMA MODULES AND PROJECTIVE MODULES -- 7.1. Radical filtrations of generalized Verma modules -- 7.2. Radical filtrations of projective indecomposable modules -- 7.3. More on radical filtrations -- 7.4. Rigidity of generalized Verma modules and projective modules -- 8. SELF-DUAL PROJECTIVE MODULES AND THEIR FILTERED CHARACTERS -- 8.1. Self-dual projective modules: review -- 8.2. Filtered self-duality of certain projective modules -- 8.3. Applications -- 9. SELF-DUAL MODULES WITH A VERMA FLAG AND THEIR FILTERED CHARACTERS -- 9.1. A class of self-dual modules with a Verma flag -- 9.2. A category of self-dual modules -- 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	_aVerma modules.
650		0	_aSemisimple Lie groups.
650		0	_aFiltered modules.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aIrving, Ronald S. _tFiltered Category OS and Applications _dProvidence : American Mathematical Society,c1990 _z9780821824825
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113782 _zClick to View
999			_c69313 _d69313