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Tridiagonal pairs and the quantum affine algebra Uq(sl 2)
https://doi.org/10.24517/00010584
https://doi.org/10.24517/00010584e5f27245-df2d-42cb-b95c-e99f4fbc33a8
名前 / ファイル | ライセンス | アクション |
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SC-PR-ITO-T-39.pdf (222.0 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-10-03 | |||||
タイトル | ||||||
タイトル | Tridiagonal pairs and the quantum affine algebra Uq(sl 2) | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
ID登録 | ||||||
ID登録 | 10.24517/00010584 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Ito, Tatsuro
× Ito, Tatsuro× Terwilliger, Paul M. |
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著者別表示 |
伊藤, 達郎
× 伊藤, 達郎 |
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書誌情報 |
Ramanujan Journal 巻 13, 号 1-3, p. 39-62, 発行日 2007-06-01 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1382-4090 | |||||
NCID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11118653 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1007/s11139-006-0242-4 | |||||
出版者 | ||||||
出版者 | Springer Science + Business Media, LLC | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let double-struck K denote an algebraically closed field and let q denote a nonzero scalar in double-struck K that is not a root of unity. Let V denote a vector space over double-struck K with finite positive dimension and let A, A* denote a tridiagonal pair on V. Let θ0, θ1,..., θd (resp. θ0*, θ1*,..., θd*) denote a standard ordering of the eigenvalues of A (resp. A*). We assume there exist nonzero scalars a, a* in double-struck K such that θi = aq 2i-d and θi* = a*qd-2i for 0 ≤ i ≤ d. We display two irreducible Uq(sl2)-module structures on V and discuss how these are related to the actions of A and A*. © 2006 Springer Science + Business Media, LLC. | |||||
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 |