COINCIDENCE OF ALGEBRAIC AND SMOOTH THETA CORRESPONDENCES

doi:10.1090/ert/508

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	COINCIDENCE OF ALGEBRAIC AND SMOOTH THETA CORRESPONDENCES
	Bao, Yixin 1; Sun, Binyong2,3
	2017-11-01
发表期刊	REPRESENTATION THEORY
ISSN	1088-4165
卷号	21 页码:458-466
摘要	An "automatic continuity" question has naturally occurred since Roger Howe established the local theta correspondence over R: Does the algebraic version of local theta correspondence over R agree with the smooth version? We show that the answer is yes, at least when the concerning dual pair has no quaternionic type I irreducible factor.
关键词	Reductive dual pair theta correspondence Casselman-Wallach representation Harish-Chandra module
DOI	10.1090/ert/508
语种	英语
资助项目	National Natural Science Foundation of China[11525105] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11621061] ; National Natural Science Foundation of China[11531008]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000414167500001
出版者	AMER 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/26839
专题	数学所
通讯作者	Bao, Yixin
作者单位	1.Harbin Inst Technol, Sch Sci, Shenzhen 518055, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Bao, Yixin,Sun, Binyong. COINCIDENCE OF ALGEBRAIC AND SMOOTH THETA CORRESPONDENCES[J]. REPRESENTATION THEORY,2017,21:458-466.
APA	Bao, Yixin,&Sun, Binyong.(2017).COINCIDENCE OF ALGEBRAIC AND SMOOTH THETA CORRESPONDENCES.REPRESENTATION THEORY,21,458-466.
MLA	Bao, Yixin,et al."COINCIDENCE OF ALGEBRAIC AND SMOOTH THETA CORRESPONDENCES".REPRESENTATION THEORY 21(2017):458-466.