| On classification of sigma(q)-conjugacy classes of a loop group | |
Nie, Sian1 ; Zhou, Peipei2
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| 2016-08-01 | |
| Source Publication | JOURNAL OF ALGEBRA
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| ISSN | 0021-8693 |
| Volume | 459Pages:29-42 |
| Abstract | Let k be an algebraically closed field and L = k((epsilon)) the field of Laurent series over k. Let G be a connected reductive group over k such that the characteristic of k does not divide the order of the Weyl group of G. For q is an element of k(x), the automorphism of L, defined by Sigma a(i)epsilon(i) bar right arrow Sigma a(i)(q epsilon)(i), induces an automorphism sigma(q) of the loop group G(L). We show that, when q is not a root of unity, the classification of sigma(q)-conjugacy classes of G(L) can be reduced to the classification of unipotent classes of (non-connected) reductive groups. As an application, we recover the classification (of sigma(q)-conjugacy classes) for G = GL(n). (C) 2016 Elsevier Inc. All rights reserved. |
| Keyword | Loop group sigma(q)-conjugacy class |
| DOI | 10.1016/j.jalgebra.2016.03.026 |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000377319700002 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22870 |
| Collection | 数学所 |
| Corresponding Author | Nie, Sian |
| Affiliation | 1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Sci & Technol Informat Assurance Lab, Sub Box 21,Box 7227, Beijing 100072, Peoples R China |
| Recommended Citation GB/T 7714 | Nie, Sian,Zhou, Peipei. On classification of sigma(q)-conjugacy classes of a loop group[J]. JOURNAL OF ALGEBRA,2016,459:29-42. |
| APA | Nie, Sian,&Zhou, Peipei.(2016).On classification of sigma(q)-conjugacy classes of a loop group.JOURNAL OF ALGEBRA,459,29-42. |
| MLA | Nie, Sian,et al."On classification of sigma(q)-conjugacy classes of a loop group".JOURNAL OF ALGEBRA 459(2016):29-42. |
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