The explicit theta correspondence for reductive dual pairs (Sp(p, q), O*(4))

doi:10.1016/j.jfa.2016.06.018

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	*The explicit theta correspondence for reductive dual pairs (Sp(p, q), O(4))**
	Bao, Yixin
	2016-11-01
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	271 期号:9 页码:2422-2459
摘要	For every irreducible Harish Chandra module of O*(4), we determine its theta lifts to Sp(p, q) in terms of the Langlands parameters, for all non-negative integers p and q. Our strategy is to determine the desired theta lifts by their infinitesimal characters and lowest K-types. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Reductive dual pairs Theta correspondence Langlands classification
DOI	10.1016/j.jfa.2016.06.018
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000383829600003
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23398
专题	中国科学院数学与系统科学研究院
通讯作者	Bao, Yixin
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Bao, Yixin. The explicit theta correspondence for reductive dual pairs (Sp(p, q), O*(4))[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2016,271(9):2422-2459.
APA	Bao, Yixin.(2016).The explicit theta correspondence for reductive dual pairs (Sp(p, q), O*(4)).JOURNAL OF FUNCTIONAL ANALYSIS,271(9),2422-2459.
MLA	Bao, Yixin."The explicit theta correspondence for reductive dual pairs (Sp(p, q), O*(4))".JOURNAL OF FUNCTIONAL ANALYSIS 271.9(2016):2422-2459.