Harish-Chandra's orthogonality relations for admissible representations | |
Huang, Jing-Song1; Milicic, Dragan2; Sun, Binyong3,4 | |
刊名 | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
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2020 | |
卷号 | 22期号:4页码:1095-1113 |
关键词 | Harish-Chandra orthogonality relations real reductive group Harish-Chandra module homological pairing elliptic pairing |
ISSN号 | 1435-9855 |
DOI | 10.4171/JEMS/940 |
英文摘要 | 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. |
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 |
出版者 | EUROPEAN MATHEMATICAL SOC |
WOS记录号 | WOS:000522727200002 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50995] ![]() |
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. |
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