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On Borel-de Siebenthal Representations

文献类型：期刊论文

作者Huang, Jing-Song4; Luan, Yongzhi3; Sun, Binyong1,2
刊名INTERNATIONAL MATHEMATICS RESEARCH NOTICES
出版日期2019-08-01
卷号2019期号:15页码:4845-4858
ISSN号1073-7928
DOI10.1093/imrn/rnx304
英文摘要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.
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
语种英语
WOS记录号WOS:000493553200008
出版者OXFORD UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50618]  
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.Chinese Acad Sci, Acad Math & Syst Sci, CEMS, HCMS,MCM,HLM, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
3.Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
4.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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