On Borel-de Siebenthal Representations

doi:10.1093/imrn/rnx304

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	On Borel-de Siebenthal Representations
	Huang, Jing-Song 1; Luan, Yongzhi 2; Sun, Binyong 3,4
	2019-08-01
发表期刊	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
ISSN	1073-7928
卷号	2019 期号:15 页码:4845-4858
摘要	Holomorphic representations are lowest weight representations for simple Lie groups of Hermitian type and have been studied extensively. Inspired by the work of Kobayashi on discrete series for indefinite Stiefel manifolds, Gross-Wallach on quaternonic discrete series and their analytic continuation, and Orsted-Wolf on Borel-de Siebenthal discrete series, we define and study Borel-de Siebenthal representations (also called quasi-holomorphic representations) associated with Borel-de Siebenthal root systems for simple Lie groups of non-Hermitian type.
DOI	10.1093/imrn/rnx304
收录类别	SCI
语种	英语
资助项目	Research Grant Council of HKSAR ; National Science Foundation of China ; NSFC[11525105] ; NSFC[11321101] ; NSFC[11531008]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000493553200008
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50619
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Jing-Song
作者单位	1.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China 2.Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, CEMS, HCMS,MCM,HLM, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Jing-Song,Luan, Yongzhi,Sun, Binyong. On Borel-de Siebenthal Representations[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2019,2019(15):4845-4858.
APA	Huang, Jing-Song,Luan, Yongzhi,&Sun, Binyong.(2019).On Borel-de Siebenthal Representations.INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2019(15),4845-4858.
MLA	Huang, Jing-Song,et al."On Borel-de Siebenthal Representations".INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2019.15(2019):4845-4858.