000			03623nam a22004933i 4500
001			EBC3113940
003			MiAaPQ
005			20240729124555.0
006			m o d |
007			cr cnu||||||||
008			240724s1996 xx o ||||0 eng d
020			_a9781470401764 _q(electronic bk.)
020			_z9780821804889
035			_a(MiAaPQ)EBC3113940
035			_a(Au-PeEL)EBL3113940
035			_a(CaPaEBR)ebr10918893
035			_a(OCoLC)922981379
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA179 -- .C556 1996eb
082	0		_a512/.55
100	1		_aScott, Leonard.
245	1	0	_aStratifying Endomorphism Algebras.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1996.
264		4	_c©1996.
300			_a1 online resource (135 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.124
505	0		_aIntro -- Contents -- Introduction -- Chapter 1. Preliminaries -- 1.1. Endomorphism algebras -- 1.2. Duality -- 1.3. Idempotents and quotient categories -- 1.4. Filtrations and spectral sequences -- 1.5. Base change -- 1.6. On the modular representation theory of symmetric groups -- Chapter 2. Stratified algebras -- 2.1. Stratifications -- 2.2. Module-theoretic formulations -- 2.3. Stratified algebras and resolutions -- Chapter 3. Stratifying endomorphism algebras -- 3.1. Constructing stratified algebras -- 3.2. Filtrations and tilting modules -- 3.3. A converse result: stratified algebras as endomorphism algebras -- 3.4. Tilting modules and the Ringel dual of a highest weight category -- 3.5. Stratification and recollement -- 3.6. An abstract theory of twisted Young modules -- 3.7. An abstract theory of Specht module socles -- 3.8. Ext[sup(1)]-vanishing and abstract Specht/Weyl equivalences -- Chapter 4. Stratifications and orders in semisimple algebras -- 4.1. Integral endomorphism algebras -- 4.2. Z-stratified algebras -- 4.3. Integral stratification and recollement -- 4.4. An abstract theory of twisted integral Young modules -- 4.5. Integral theory and Specht module socles -- 4.6. Integral Ext[sup(1)]-vanishing and Specht/Weyl equivalences -- 4.7. Integral Ext[sup(1)]-vanishing and integral stratification -- Chapter 5. Examples -- 5.1. On the Dlab-Heath-Marko construction -- 5.2. Schur algebras -- 5.3. Singular categories -- 5.4. The category O -- Chapter 6. Some conjectures for finite Coxeter groups and further remarks -- 6.1. Example 1: finite groups-a stratification of length 2 -- 6.2. Example 2: the dihedral group of order 8 -- 6.3. A stratification conjecture -- 6.4. Stratifying systems -- a stronger conjecture -- 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	_aLinear algebraic groups.
650		0	_aFinite groups.
650		0	_aRepresentations of groups.
655		4	_aElectronic books.
700	1		_aCline, Edward.
700	1		_aParshall, Brian.
776	0	8	_iPrint version: _aScott, Leonard _tStratifying Endomorphism Algebras _dProvidence : American Mathematical Society,c1996 _z9780821804889
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113940 _zClick to View
999			_c69471 _d69471