KMS Of Academy of mathematics and systems sciences, CAS
Uniqueness of twisted linear periods and twisted Shalika periods | |
Chen, Fulin1; Sun, Binyong2,3 | |
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. |
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