KMS Of Academy of mathematics and systems sciences, CAS
| Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes | |
| Adams, Jeffrey1; He, Xuhua2; Nie, Sian3 | |
| 2021-06-04 | |
| Source Publication | ADVANCES IN MATHEMATICS
 |
| ISSN | 0001-8708 |
| Volume | 383Pages:28 |
| Abstract | Let G be a reductive group over an algebraically closed field and let W be its Weyl group. In a series of papers, Lusztig introduced a map from the set [W] of conjugacy classes of W to the set [G(u)] of unipotent classes of G. This map, when restricted to the set of elliptic conjugacy classes [W-e] of W, is injective. In this paper, we show that Lusztig's map [W-e] -> [G(u)] is order-reversing, with respect to the natural partial order on [W-e] arising from combinatorics and the natural partial order on [G(u)] arising from geometry. (C) 2021 Elsevier Inc. All rights reserved. |
| Keyword | Reductive groups Weyl groups Conjugacy classes Partial orders |
| DOI | 10.1016/j.aim.2021.107688 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000642480700013 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58600 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | He, Xuhua |
| Affiliation | 1.Univ Maryland, Dept Math, College Pk, MD 20742 USA 2.Chinese Univ Hong Kong, Inst Math Sci & Dept Math, Shatin, Hong Kong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Adams, Jeffrey,He, Xuhua,Nie, Sian. Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes[J]. ADVANCES IN MATHEMATICS,2021,383:28. |
| APA | Adams, Jeffrey,He, Xuhua,&Nie, Sian.(2021).Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes.ADVANCES IN MATHEMATICS,383,28. |
| MLA | Adams, Jeffrey,et al."Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes".ADVANCES IN MATHEMATICS 383(2021):28. |
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