000			03206nam a22004933i 4500
001			EBC3114411
003			MiAaPQ
005			20240729124607.0
006			m o d |
007			cr cnu||||||||
008			240724s2001 xx o ||||0 eng d
020			_a9781470402976 _q(electronic bk.)
020			_z9780821826164
035			_a(MiAaPQ)EBC3114411
035			_a(Au-PeEL)EBL3114411
035			_a(CaPaEBR)ebr11041189
035			_a(OCoLC)922964922
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA179 -- .B78 2001eb
082	0		_a510 s;512/.2
100	1		_aBrundan, Jonathan.
245	1	0	_aQuantum linear groups and representations of GLn (Fq).
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2001.
264		4	_c©2001.
300			_a1 online resource (127 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.149
505	0		_aIntro -- Contents -- Introduction -- 1 Quantum linear groups and polynomial induction -- 1.1 Symmetric groups and Hecke algebras -- 1.2 The g-Schur algebra -- 1.3 Tensor products and Levi subalgebras -- 1.4 Polynomial induction -- 1.5 Schur algebra induction -- 2 Classical results on GL[sub(n)] -- 2.1 Conjugacy classes and Levi subgroups -- 2.2 Harish-Chandra induction and restriction -- 2.3 Characters and Deligne-Lusztig operators -- 2.4 Cuspidal representations and blocks -- 2.5 Howlett-Lehrer theory and the Gelfand-Graev representation -- 3 Connecting GL[sub(n)] with quantum linear groups -- 3.1 Schur functors -- 3.2 The cuspidal algebra -- 3.3 'Symmetric' and 'exterior' powers -- 3.4 Endomorphism algebras -- 3.5 Standard modules -- 4 Further connections and applications -- 4.1 Base change -- 4.2 Connecting Harish-Chandra induction with tensor products -- 4.3 p-Singular classes -- 4.4 Blocks and decomposition numbers -- 4.5 The Ringel dual of the cuspidal algebra -- 5 The affine general linear group -- 5.1 Levels and the branching rule from AGL[sub(n)] to GL[sub(n)] -- 5.2 Affine induction operators -- 5.3 The affine cuspidal algebra -- 5.4 The branching rule from GL[sub(n)] to AGL[sub(n-1) -- 5.5 A dimension formula for irreducibles -- Bibliography.
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	_aRepresentations of groups.
650		0	_aGroup schemes (Mathematics).
655		4	_aElectronic books.
700	1		_aDipper, Richard.
700	1		_aKleshchev, Alexander.
776	0	8	_iPrint version: _aBrundan, Jonathan _tQuantum linear groups and representations of GLn (Fq) _dProvidence : American Mathematical Society,c2001 _z9780821826164
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114411 _zClick to View
999			_c69906 _d69906