The based ring of the lowest generalized two-sided cell of an extended affine Weyl group
文献类型：期刊论文
| 作者 | Xie, Xun1,2 |
| 刊名 | JOURNAL OF ALGEBRA
 |
| 出版日期 | 2017-05-01 |
| 卷号 | 477页码:1-28 |
| 关键词 | Affine Realm algebra Lowest two-sided cell Based ring P1-P15 |
| ISSN号 | 0021-8693 |
| DOI | 10.1016/j.jalgebra.2016.11.031 |
| 英文摘要 | Let c(0) be the lowest generalized two-sided cell of an extended affine Weyl group W with unequal parameters. We first prove that certain conjectures of Lusztig (called Pl P15) hold for co, which implies the existence of the based ring of CO and then we determine the structure of the based ring. As an application, we use the structure of the based ring to study certain simple modules of the Hecke algebra with unequal parameters associated to W, namely those attached to co. Further we give a set of prime ideals p of the center Z of the affine Hecke algebra It such that the reduced algebra kpll is simple over K-p, where k(p) = Frac(Z/p) is the residue field of Z at p. In particular, we show that the algebra -1.10z Frac(Z) is split simple over the field Frac(2). |
| 语种 | 英语 |
| WOS记录号 | WOS:000396380500001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25166]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xie, Xun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xie, Xun. The based ring of the lowest generalized two-sided cell of an extended affine Weyl group[J]. JOURNAL OF ALGEBRA,2017,477:1-28. |
| APA | Xie, Xun.(2017).The based ring of the lowest generalized two-sided cell of an extended affine Weyl group.JOURNAL OF ALGEBRA,477,1-28. |
| MLA | Xie, Xun."The based ring of the lowest generalized two-sided cell of an extended affine Weyl group".JOURNAL OF ALGEBRA 477(2017):1-28. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。