On classification of sigma(q)-conjugacy classes of a loop group | |
Nie, Sian1; Zhou, Peipei2 | |
2016-08-01 | |
发表期刊 | JOURNAL OF ALGEBRA |
ISSN | 0021-8693 |
卷号 | 459页码:29-42 |
摘要 | 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. |
关键词 | Loop group sigma(q)-conjugacy class |
DOI | 10.1016/j.jalgebra.2016.03.026 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000377319700002 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/22870 |
专题 | 数学所 |
通讯作者 | Nie, Sian |
作者单位 | 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 |
推荐引用方式 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. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Nie, Sian]的文章 |
[Zhou, Peipei]的文章 |
百度学术 |
百度学术中相似的文章 |
[Nie, Sian]的文章 |
[Zhou, Peipei]的文章 |
必应学术 |
必应学术中相似的文章 |
[Nie, Sian]的文章 |
[Zhou, Peipei]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
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。
修改评论