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ユニタリ・ヤコビ形式と原始的テータ関数の研究
https://doi.org/10.24517/00034536
https://doi.org/10.24517/000345363a41ca59-0b7c-46d3-ac9f-e3f30a5f5f45
名前 / ファイル | ライセンス | アクション |
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SC-PR-SUGANO-T-kaken 2013-4p.pdf (343.5 kB)
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Item type | 報告書 / Research Paper(1) | |||||
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公開日 | 2017-10-05 | |||||
タイトル | ||||||
タイトル | ユニタリ・ヤコビ形式と原始的テータ関数の研究 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Unitary Jacobi forms and primitive theta functions | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_18ws | |||||
資源タイプ | research report | |||||
ID登録 | ||||||
ID登録 | 10.24517/00034536 | |||||
ID登録タイプ | JaLC | |||||
著者別表示 |
Sugano, Takashi
× Sugano, Takashi |
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書誌情報 |
平成24(2012)年度 科学研究費補助金 基盤研究(C) 研究成果報告書 en : 2012 Fiscal Year Final Research Report 巻 2010-2012, p. 4p., 発行日 2013-05-20 |
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出版者 | ||||||
出版者 | 金沢大学数物科学系 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 極大偶対称行列を指数とするヤコビ群のヘッケ環の構造を決定し,各既約表現に対応する帯球関数を求め,更に,非可換ヤコビ・ヘッケ環と二面体群の群環との関係を示した(橋詰哲靖氏との共同研究).また,大域的な問題として,レベルが 2, 3 の 2 次パラモジュラー保型形式のなす環について,テータ・リフトとクリンゲン型アイゼンシュタイン級数を用いる新しい生成系を求めた(岩堀雄樹氏との共同研究). | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We determined the structure of Jacobi Hecke algebra whose index is a maximal even integral matrix and obtained zonal spherical functions corresponding to irreducible representations of the Hecke algebra, moreover, we showed a relation between a non-commutative Jacobi Hecke algebra and the group ring of a dihedral group (joint work with N. Hashizume). As a global problem, we gave a new system of generators for the ring of paramodular forms of degree 2 and level 2 or 3, by using theta lifts and Klingen Eisenstein series (joint work with Y. Iwahori). | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 研究課題/領域番号:22540012, 研究期間(年度):2010–2012 | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 出典:研究課題「ユニタリ・ヤコビ形式と原始的テータ関数の研究」課題番号22540012 (KAKEN:科学研究費助成事業データベース(国立情報学研究所)) (https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-22540012/22540012seika/)を加工して作成 |
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著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://kaken.nii.ac.jp/search/?qm=30183841 | |||||
関連名称 | https://kaken.nii.ac.jp/search/?qm=30183841 | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540012/ | |||||
関連名称 | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540012/ | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-22540012/22540012seika/ | |||||
関連名称 | https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-22540012/22540012seika/ |