COHOMOLOGICALLY INDUCED DISTINGUISHED REPRESENTATIONS AND COHOMOLOGICAL TEST VECTORS
文献类型：期刊论文
| 作者 | Sun, Binyong1,2
|
| 刊名 | DUKE MATHEMATICAL JOURNAL
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000454814100002 |
| 出版者 | DUKE UNIV PRESS |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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