Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes

doi:10.1016/j.aim.2021.107688

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	Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes
	Adams, Jeffrey 1; He, Xuhua 2; Nie, Sian 3
	2021-06-04
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	383 页码:28
摘要	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.
关键词	Reductive groups Weyl groups Conjugacy classes Partial orders
DOI	10.1016/j.aim.2021.107688
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000642480700013
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/58600
专题	中国科学院数学与系统科学研究院
通讯作者	He, Xuhua
作者单位	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
推荐引用方式 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.