From conjugacy classes in the Weyl group to semisimple conjugacy classes
文献类型：期刊论文
| 作者 | Adams, Jeffrey1; He, Xuhua1,2,3; Nie, Sian4 |
| 刊名 | PURE AND APPLIED MATHEMATICS QUARTERLY
 |
| 出版日期 | 2021 |
| 卷号 | 17期号:4页码:1159-1189 |
| 关键词 | Algebraic groups Weyl groups elliptic conjugacy classes semisimple conjugacy classes |
| ISSN号 | 1558-8599 |
| 英文摘要 | Suppose G is a connected complex semisimple group and W is its Weyl group. The lifting of an element of W to G is semisimple. This induces a well-defined map from the set of elliptic conjugacy classes of W to the set of semisimple conjugacy classes of G. In this paper, we give a uniform algorithm to compute this map. We also consider the twisted case. |
| 资助项目 | NSF[DMS-1801352] ; NSFC[11501547] ; NSFC[11621061] ; NSFC[11688101] ; [QYZDB-SSW-SYS007] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000735396600002 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59766]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Adams, Jeffrey |
| 作者单位 | 1.Univ Maryland, Dept Math, College Pk, MD 20742 USA 2.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 3.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China 4.Univ Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Adams, Jeffrey,He, Xuhua,Nie, Sian. From conjugacy classes in the Weyl group to semisimple conjugacy classes[J]. PURE AND APPLIED MATHEMATICS QUARTERLY,2021,17(4):1159-1189. |
| APA | Adams, Jeffrey,He, Xuhua,&Nie, Sian.(2021).From conjugacy classes in the Weyl group to semisimple conjugacy classes.PURE AND APPLIED MATHEMATICS QUARTERLY,17(4),1159-1189. |
| MLA | Adams, Jeffrey,et al."From conjugacy classes in the Weyl group to semisimple conjugacy classes".PURE AND APPLIED MATHEMATICS QUARTERLY 17.4(2021):1159-1189. |
入库方式： OAI收割
来源：数学与系统科学研究院
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