Uniqueness of twisted linear periods and twisted Shalika periods

doi:10.1007/s11425-018-9502-y

	Uniqueness of twisted linear periods and twisted Shalika periods
	Chen, Fulin 2; Sun, Binyong 1,3
刊名	SCIENCE CHINA-MATHEMATICS
	2020
卷号	63 期号:1 页码:1-22
关键词	linear period Shalika model irreducible representation uniqueness generalized function
ISSN号	1674-7283
DOI	10.1007/s11425-018-9502-y
英文摘要	Let k be a local field of characteristic zero. Let pi be an irreducible admissible smooth representation of GL(2n)(k). We prove that for all but countably many characters chi's of GL(n)(k) x GL(n)(k), the space of chi-equivariant(continuous in the archimedean case) linear functionals on pi is at most one dimensional. Using this, we prove the uniqueness of twisted Shalika models.
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000511688400001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50831]
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Binyong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Chen, Fulin,Sun, Binyong. Uniqueness of twisted linear periods and twisted Shalika periods[J]. SCIENCE CHINA-MATHEMATICS,2020,63(1):1-22.
APA	Chen, Fulin,&Sun, Binyong.(2020).Uniqueness of twisted linear periods and twisted Shalika periods.SCIENCE CHINA-MATHEMATICS,63(1),1-22.
MLA	Chen, Fulin,et al."Uniqueness of twisted linear periods and twisted Shalika periods".SCIENCE CHINA-MATHEMATICS 63.1(2020):1-22.