COHOMOLOGICALLY INDUCED DISTINGUISHED REPRESENTATIONS AND COHOMOLOGICAL TEST VECTORS

doi:10.1215/00127094-2018-0044

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	COHOMOLOGICALLY INDUCED DISTINGUISHED REPRESENTATIONS AND COHOMOLOGICAL TEST VECTORS
	Sun, Binyong1,2
刊名	DUKE MATHEMATICAL JOURNAL
	2019-01-15
卷号	168 期号:1 页码:85-126
ISSN号	0012-7094
DOI	10.1215/00127094-2018-0044
英文摘要	Let 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.
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
语种	英语
出版者	DUKE UNIV PRESS
WOS记录号	WOS:000454814100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/32120]
专题	数学所
通讯作者	Sun, Binyong
作者单位	1.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
推荐引用方式 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.