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On classification of sigma(q)-conjugacy classes of a loop group
Nie, Sian1; Zhou, Peipei2
2016-08-01
Source PublicationJOURNAL OF ALGEBRA
ISSN0021-8693
Volume459Pages:29-42
AbstractLet 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.
KeywordLoop group sigma(q)-conjugacy class
DOI10.1016/j.jalgebra.2016.03.026
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000377319700002
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22870
Collection数学所
Affiliation1.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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