Uniqueness of twisted linear periods and twisted Shalika periods

doi:10.1007/s11425-018-9502-y

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	Uniqueness of twisted linear periods and twisted Shalika periods
	Chen, Fulin 1; Sun, Binyong 2,3
	2020
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	63 期号:1 页码:1-22
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.
关键词	linear period Shalika model irreducible representation uniqueness generalized function
DOI	10.1007/s11425-018-9502-y
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000511688400001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50832
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.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.