REPRESENTATIONS OF AFFINE HECKE ALGEBRAS OF TYPE (G)over-tilde(2)

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	REPRESENTATIONS OF AFFINE HECKE ALGEBRAS OF TYPE (G)over-tilde(2)
	Xi Nanhua
刊名	ACTA MATHEMATICA SCIENTIA
	2009-05-01
卷号	29 期号:3 页码:515-526
关键词	representation affine Hecke algebra affine Weyl groups Hecke algebra
ISSN号	0252-9602
英文摘要	Let 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.
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000265911500005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/8161]
专题	数学所
通讯作者	Xi Nanhua
作者单位	Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 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.