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(g, K)-module of O(p, q) associated with the finite-dimensional representation of sl(2)
https://repository.lib.tottori-u.ac.jp/records/7223
https://repository.lib.tottori-u.ac.jp/records/7223a796b66b-fc10-45bb-a166-4759315ad39a
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2022-08-24 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | (g, K)-module of O(p, q) associated with the finite-dimensional representation of sl(2) | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Indefinite orthogonal group | |||||
キーワード | ||||||
主題 | moment map on symplectic vector space | |||||
キーワード | ||||||
主題 | canonical quantization | |||||
キーワード | ||||||
主題 | irreducible (g K)-module | |||||
キーワード | ||||||
主題 | K-type formula. | |||||
キーワード | ||||||
言語 | en | |||||
主題 | Indefinite orthogonal group | |||||
キーワード | ||||||
言語 | en | |||||
主題 | moment map on symplectic vector space | |||||
キーワード | ||||||
言語 | en | |||||
主題 | canonical quantization | |||||
キーワード | ||||||
言語 | en | |||||
主題 | irreducible (g K)-module | |||||
キーワード | ||||||
言語 | en | |||||
主題 | K-type formula. | |||||
資源タイプ | ||||||
資源タイプ | journal article | |||||
著者 |
橋本, 隆司
× 橋本, 隆司 |
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著者所属(英) | ||||||
en | ||||||
University Education Center, Tottori University | ||||||
抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | The main aim of this paper is to show that one can construct (????,K)-modules of O(p,q) associated with the finite-dimensional representation of ????????2 by quantizing the moment map on the symplectic vector space (ℂp+q) ℝ and using the fact that (O(p,q),SL2(ℝ)) is a dual pair. Then one obtains the K-type formula, the Gelfand–Kirillov dimension and the Bernstein degree of them for all non-negative integers m satisfying m + 3 ≤ (p + q)/2 when p,q ≥ 2 and p + q is even. In fact, one finds that the Gelfand–Kirillov dimension is equal to p + q − 3 and the Bernstein degree is equal to 4(m + 1)(p + q − 4)!/((p − 2)!(q − 2)!). | |||||
書誌情報 |
INTERNATIONAL JOURNAL OF MATHEMATICS en : INTERNATIONAL JOURNAL OF MATHEMATICS 巻 32, 号 2, p. 2150009, 発行日 2021-02 |
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出版者 | ||||||
出版者 | World Scientific Publishing | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0129167X | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1142/s0129167x21500099 | |||||
権利 | ||||||
権利情報 | Electronic version of an article published as INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32(2). https://doi.org/10.1142/S0129167X21500099. (C) World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijm | |||||
情報源 | ||||||
関連名称 | Hashimoto Takashi. (g, K)-module of O(p, q) associated with the finite-dimensional representation of sl(2). INTERNATIONAL JOURNAL OF MATHEMATICS. 2021. 32(2). doi:10.1142/s0129167x21500099 | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
EISSN | ||||||
17936519 |