Uniqueness of twisted linear periods and twisted Shalika periods
文献类型：期刊论文
| 作者 | Chen, Fulin3; Sun, Binyong1,2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000511688400001 |
| 出版者 | SCIENCE PRESS |
| 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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Xiamen Univ, Sch Math Sci, Xiamen 361005, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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