000			03046nam a22005415i 4500
001			978-3-540-48682-4
003			DE-He213
005			20160624101830.0
007			cr nn 008mamaa
008			121227s1994 gw | s |||| 0|eng d
020			_a9783540486824 _9978-3-540-48682-4
024	7		_a10.1007/BFb0074130 _2doi
050		4	_aQA252.3
050		4	_aQA387
072		7	_aPBG _2bicssc
072		7	_aMAT014000 _2bisacsh
072		7	_aMAT038000 _2bisacsh
082	0	4	_a512.55 _223
082	0	4	_a512.482 _223
100	1		_aXi, Nanhua. _eauthor.
245	1	0	_aRepresentations of Affine Hecke Algebras _h[electronic resource] / _cby Nanhua Xi.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1994.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1994.
300			_aVIII, 144 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1587
505	0		_aHecke algebras -- Affine Weyl groups and affine Hecke algebras -- A generalized two-sided cell of an affine Weyl group -- qs-analogue of weight multiplicity -- Kazhdan-Lusztig classification on simple modules of affine Hecke algebras -- An equivalence relation in T × ?* -- The lowest two-sided cell -- Principal series representations and induced modules -- Isogenous affine Hecke algebras -- Quotient algebras -- The based rings of cells in affine Weyl groups of type -- Simple modules attached to c 1.
520			_aKazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest.
650		0	_aMathematics.
650		0	_aGroup theory.
650		0	_aK-theory.
650		0	_aTopological Groups.
650	1	4	_aMathematics.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aK-Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540583899
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1587
856	4	0	_uhttp://dx.doi.org/10.1007/BFb0074130
942			_2EBK1720 _cEBK
999			_c31014 _d31014