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REPRESENTATIONS OF AFFINE HECKE ALGEBRAS OF TYPE (G)over-tilde(2)
Xi Nanhua
2009-05-01
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume29Issue:3Pages:515-526
AbstractLet k be a field and q a nonzero element in k such that the square roots of q are in k. We use H-q to denote an affine Hecke algebra over k of type (G) over tilde (2) with parameter q. The purpose of this paper is to study representations of H-q by using based rings of two-sided cells of an affine Weyl group W of type (G) over tilde (2). We shall give the classification of irreducible representations of H-q. We also remark that a calculation in [11] actually shows that Theorem 2 in [1] needs a modification, a fact is known to Grojnowski and Tanisaki long time ago. In this paper we also show an interesting relation between H-q and all Hecke algebra corresponding to a certain Coxeter group. Apparently the idea in this paper works for all affine Weyl groups, but that is the theme of another paper.
Keywordrepresentation affine Hecke algebra affine Weyl groups Hecke algebra
Language英语
Funding ProjectNatural Sciences Foundation of China[10671193]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000265911500005
PublisherELSEVIER SCIENCE INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/8162
Collection数学所
Corresponding AuthorXi Nanhua
AffiliationChinese Acad Sci, Inst Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Xi Nanhua. REPRESENTATIONS OF AFFINE HECKE ALGEBRAS OF TYPE (G)over-tilde(2)[J]. ACTA MATHEMATICA SCIENTIA,2009,29(3):515-526.
APA Xi Nanhua.(2009).REPRESENTATIONS OF AFFINE HECKE ALGEBRAS OF TYPE (G)over-tilde(2).ACTA MATHEMATICA SCIENTIA,29(3),515-526.
MLA Xi Nanhua."REPRESENTATIONS OF AFFINE HECKE ALGEBRAS OF TYPE (G)over-tilde(2)".ACTA MATHEMATICA SCIENTIA 29.3(2009):515-526.
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