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The explicit theta correspondence for reductive dual pairs (Sp(p, q), O*(4))
Bao, Yixin
2016-11-01
Source PublicationJOURNAL OF FUNCTIONAL ANALYSIS
ISSN0022-1236
Volume271Issue:9Pages:2422-2459
AbstractFor 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.
KeywordReductive dual pairs Theta correspondence Langlands classification
DOI10.1016/j.jfa.2016.06.018
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000383829600003
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23398
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
Recommended Citation
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.
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