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

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	Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra
	Tanisaki, Toshiyuki ; Xi, Nanhua
	2006-06-01
发表期刊	NAGOYA MATHEMATICAL JOURNAL
ISSN	0027-7630
卷号	182 页码:285-311
摘要	According to Kazhdan-Lusztig and Ginzburg, the Hecke algebra of an affine Weyl group is identified with the equivariant K-group of Steinberg's triple variety. The K-group is equipped with a filtration indexed by closed G-stable subvarieties of the nilpotent variety, where G is the corresponding reductive algebraic group over C. In this paper we will show in the case of type A that the filtration is compatible with the Kazhdan-Lusztig basis of the Hecke algebra..
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000238765000010
出版者	DUKE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2441
专题	数学所
通讯作者	Tanisaki, Toshiyuki
作者单位	1.Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tanisaki, Toshiyuki,Xi, Nanhua. Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra[J]. NAGOYA MATHEMATICAL JOURNAL,2006,182:285-311.
APA	Tanisaki, Toshiyuki,&Xi, Nanhua.(2006).Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra.NAGOYA MATHEMATICAL JOURNAL,182,285-311.
MLA	Tanisaki, Toshiyuki,et al."Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra".NAGOYA MATHEMATICAL JOURNAL 182(2006):285-311.