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Invariant Differential Operators on the Schrödinger Model for the Minimal Representation of the Conformal Group
http://hdl.handle.net/2261/52758
http://hdl.handle.net/2261/5275808fd6096-b8c2-461a-bd11-2f77a5c95061
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms180304.pdf (281.1 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2012-12-19 | |||||
| タイトル | ||||||
| タイトル | Invariant Differential Operators on the Schrödinger Model for the Minimal Representation of the Conformal Group | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Schrödinger model | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | minimal representation | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | conformal group | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | unitary group | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | spherical harmonics | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | invariant differential operators | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Kowata, Atsutaka
× Kowata, Atsutaka× Moriwaki, Masayasu |
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| 著者所属 | ||||||
| 著者所属 | Department of Mathematics, Graduate School of Science, Hiroshima University | |||||
| 著者所属 | ||||||
| 著者所属 | Hiroshima University High School | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We consider the Schrödinger model of the minimal representation for the conformal group O(2n, 2)(n > 1) which was constructed by Kobayashi-Ørsted [Adv. Math. 2003], and enriched by a series of papers by Kobayashi-Mano [Memoirs of AMS 2011, etc]. We get the joint spectra of the differential operators on the model for generators of the center of the Lie algebra of U(k) × U(n-k) × U(1) for k = 1, ..., n-1. Further, we obtain the generators of the algebra consisting of all invariant differential operators for two compact subgroups I1 × SO(2n-1) × SO(2) and SO(2n) × SO(2) of O(2n, 2). | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 18, 号 3, p. 355-395, 発行日 2011-12-16 |
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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 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 22E45(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 47F05(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2011-08-10 | ||||||
