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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 |
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jms180304.pdf (281.1 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 | Schrödinger model | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | minimal representation | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | conformal group | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | unitary group | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | spherical harmonics | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | invariant differential operators | |||||
主題Scheme | Other | |||||
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 | 415 | |||||
主題Scheme | NDC | |||||
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 |