KMS Of Academy of mathematics and systems sciences, CAS
| From conjugacy classes in the Weyl group to semisimple conjugacy classes | |
| Adams, Jeffrey1; He, Xuhua1,2,3; Nie, Sian4 | |
| 2021 | |
| Source Publication | PURE AND APPLIED MATHEMATICS QUARTERLY
 |
| ISSN | 1558-8599 |
| Volume | 17Issue:4Pages:1159-1189 |
| Abstract | 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. |
| Keyword | Algebraic groups Weyl groups elliptic conjugacy classes semisimple conjugacy classes |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSF[DMS-1801352] ; NSFC[11501547] ; NSFC[11621061] ; NSFC[11688101] ; [QYZDB-SSW-SYS007] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000735396600002 |
| Publisher | INT PRESS BOSTON, INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59767 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Adams, Jeffrey |
| Affiliation | 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 |
| Recommended Citation 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. |
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