CONJUGACY AND ELEMENT-CONJUGACY OF HOMOMORPHISMS OF COMPACT LIE GROUPS

doi:10.2140/pjm.2016.283.75

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	CONJUGACY AND ELEMENT-CONJUGACY OF HOMOMORPHISMS OF COMPACT LIE GROUPS
	Fang, Yingjue 1; Han, Gang 2; Sun, Binyong3
	2016-07-01
发表期刊	PACIFIC JOURNAL OF MATHEMATICS
ISSN	0030-8730
卷号	283 期号:1 页码:75-83
摘要	Let G be a connected compact Lie group. Among other things, we prove that the following are equivalent. (a) For all connected compact Lie groups H and all continuous homomorphisms phi, phi' V H -> G, if phi(h) and phi'(h) are conjugate in G for all h epsilon H, then phi and phi' are G-conjugate. (b) The Lie algebra of G contains no simple ideal of type D-n (n >= 4), E-6, E-7, or E-8.
关键词	element-conjugacy conjugacy compact Lie group
DOI	10.2140/pjm.2016.283.75
语种	英语
资助项目	NSFC[11321101] ; NSFC[11525105]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000378758000005
出版者	PACIFIC JOURNAL MATHEMATICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22959
专题	数学所
通讯作者	Fang, Yingjue
作者单位	1.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China 2.Zhejiang Univ, Dept Math, POB 1511, Hangzhou 310027, Zhejiang, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Fang, Yingjue,Han, Gang,Sun, Binyong. CONJUGACY AND ELEMENT-CONJUGACY OF HOMOMORPHISMS OF COMPACT LIE GROUPS[J]. PACIFIC JOURNAL OF MATHEMATICS,2016,283(1):75-83.
APA	Fang, Yingjue,Han, Gang,&Sun, Binyong.(2016).CONJUGACY AND ELEMENT-CONJUGACY OF HOMOMORPHISMS OF COMPACT LIE GROUPS.PACIFIC JOURNAL OF MATHEMATICS,283(1),75-83.
MLA	Fang, Yingjue,et al."CONJUGACY AND ELEMENT-CONJUGACY OF HOMOMORPHISMS OF COMPACT LIE GROUPS".PACIFIC JOURNAL OF MATHEMATICS 283.1(2016):75-83.