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COHOMOLOGICALLY INDUCED DISTINGUISHED REPRESENTATIONS AND COHOMOLOGICAL TEST VECTORS
Sun, Binyong1,2
2019-01-15
Source PublicationDUKE MATHEMATICAL JOURNAL
ISSN0012-7094
Volume168Issue:1Pages:85-126
AbstractLet G be a real reductive group, and let chi be a character of a reductive subgroup H of G. We construct chi-invariant linear functionals on certain cohomologically induced representations of G, and we show that these linear functionals do not vanish on the bottom layers. Applying this construction, we prove two Archimedean nonvanishing hypotheses which are vital to the arithmetic study of special values of certain L-functions via modular symbols.
DOI10.1215/00127094-2018-0044
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000454814100002
PublisherDUKE UNIV PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32121
Collection数学所
Affiliation1.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Ctr Excellence Math Sci, Acad Math & Syst Sci, Beijing, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Sun, Binyong. COHOMOLOGICALLY INDUCED DISTINGUISHED REPRESENTATIONS AND COHOMOLOGICAL TEST VECTORS[J]. DUKE MATHEMATICAL JOURNAL,2019,168(1):85-126.
APA Sun, Binyong.(2019).COHOMOLOGICALLY INDUCED DISTINGUISHED REPRESENTATIONS AND COHOMOLOGICAL TEST VECTORS.DUKE MATHEMATICAL JOURNAL,168(1),85-126.
MLA Sun, Binyong."COHOMOLOGICALLY INDUCED DISTINGUISHED REPRESENTATIONS AND COHOMOLOGICAL TEST VECTORS".DUKE MATHEMATICAL JOURNAL 168.1(2019):85-126.
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