REPRESENTATIONS OF AFFINE HECKE ALGEBRAS OF TYPE (G)over-tilde(2)
文献类型：期刊论文
| 作者 | Xi Nanhua
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000265911500005 |
| 出版者 | ELSEVIER SCIENCE INC |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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