Harish-Chandra's orthogonality relations for admissible representations

doi:10.4171/JEMS/940

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	Harish-Chandra's orthogonality relations for admissible representations
	Huang, Jing-Song 1; Milicic, Dragan 2; Sun, Binyong 3,4
	2020
发表期刊	JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
ISSN	1435-9855
卷号	22 期号:4 页码:1095-1113
摘要	We prove a generalization of Harish-Chandra's character orthogonality relations for discrete series to arbitrary admissible representations for real reductive Lie groups. This result is an analogue of a conjecture by Kazhdan for p-adic reductive groups proved by Bezrukavnikov and by Schneider and Stuhler.
关键词	Harish-Chandra orthogonality relations real reductive group Harish-Chandra module homological pairing elliptic pairing
DOI	10.4171/JEMS/940
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, Applied ; Mathematics
WOS记录号	WOS:000522727200002
出版者	EUROPEAN MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50996
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.Univ Utah, Dept Math, Salt Lake City, UT 84112 USA 3.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 4.Chinese Acad Sci, AMSS, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Jing-Song,Milicic, Dragan,Sun, Binyong. Harish-Chandra's orthogonality relations for admissible representations[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,2020,22(4):1095-1113.
APA	Huang, Jing-Song,Milicic, Dragan,&Sun, Binyong.(2020).Harish-Chandra's orthogonality relations for admissible representations.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,22(4),1095-1113.
MLA	Huang, Jing-Song,et al."Harish-Chandra's orthogonality relations for admissible representations".JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 22.4(2020):1095-1113.