On classification of sigma(q)-conjugacy classes of a loop group

doi:10.1016/j.jalgebra.2016.03.026

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	On classification of sigma(q)-conjugacy classes of a loop group
	Nie, Sian1 ; Zhou, Peipei 2
	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.