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Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra
Tanisaki, Toshiyuki; Xi, Nanhua
2006-06-01
Source PublicationNAGOYA MATHEMATICAL JOURNAL
ISSN0027-7630
Volume182Pages:285-311
AbstractAccording 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..
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000238765000010
PublisherDUKE UNIV PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/2441
Collection数学所
Corresponding AuthorTanisaki, Toshiyuki
Affiliation1.Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan
2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
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.
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