Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra, II

doi:10.4171/JEMS/249

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	Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra, II
	Xi, Nanhua
	2011
发表期刊	JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
ISSN	1435-9855
卷号	13 期号:1 页码:207-217
摘要	An affine Hecke algebra can be realized as an equivariant K-group of the corresponding Steinberg variety. This gives rise naturally to some two-sided ideals of the affine Hecke algebra by means of the closures of nilpotent orbits of the corresponding Lie algebra. In this paper we will show that the two-sided ideals are in fact the two-sided ideals of the affine Hecke algebra defined through the two-sided cells of the corresponding affine Weyl group after the two kinds of ideals are tensored by Q. This proves a weak form of a conjecture of Ginzburg proposed in 1987.
DOI	10.4171/JEMS/249
语种	英语
资助项目	Natural Sciences Foundation of China[10671193]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000283999700008
出版者	EUROPEAN MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12938
专题	数学所
通讯作者	Xi, Nanhua
作者单位	Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xi, Nanhua. Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra, II[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,2011,13(1):207-217.
APA	Xi, Nanhua.(2011).Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra, II.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,13(1),207-217.
MLA	Xi, Nanhua."Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra, II".JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 13.1(2011):207-217.