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Global Theta Liftings of General Linear Groups
http://hdl.handle.net/2261/1379
http://hdl.handle.net/2261/1379120dafbe-1a62-4d2b-830c-2a08800e2f7f
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms030308.pdf (132.5 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | Global Theta Liftings of General Linear Groups | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Watanabe, Takao
× Watanabe, Takao |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | A global theta lifting of some irreducible type 2 dual reductive pair is studied. It is proved that the image of a global theta lifting of a given irreducible automorphic cuspidal representation is nonvanishing if and only if its standard $L$-function is nonzero at the point $1/2$, and then the image coincides with the initial automorphic cuspidal representation. As a corollary of this result, the global Howe correspondence is obtained. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 3, p. 699-711, 発行日 1996 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1432113 | ||||||
| Mathmatical Subject Classification | ||||||
| 11F70(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 11F27(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 22E50(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1995-09-01 | ||||||
