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Evaluation modules for the q-tetrahedron algebra
https://doi.org/10.24517/00010570
https://doi.org/10.24517/000105708d9b50e3-b7a2-4f78-98ef-cb020d34a13f
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
SC-PR-ITO-T-107.pdf (506.4 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 | Evaluation modules for the q-tetrahedron algebra | |||||||
| 言語 | en | |||||||
| 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 | 10.24517/00010570 | |||||||
| ID登録タイプ | JaLC | |||||||
| 著者 |
Ito, Tatsuro
× Ito, Tatsuro× Rosengren, Hjalmar× Terwilliger, Paul |
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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 |
Linear Algebra and Its Applications 巻 451, p. 107-168, 発行日 2014-06-15 |
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| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 0024-3795 | |||||||
| NCID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA00717292 | |||||||
| 出版者 | ||||||||
| 出版者 | Elsevier | |||||||
| 抄録 | ||||||||
| 内容記述タイプ | Abstract | |||||||
| 内容記述 | Let F denote an algebraically closed field, and fix a nonzero qε F that is not a root of unity. We consider the q-tetrahedron algebra q over F. It is known that each finite-dimensional irreducible q-module of type 1 is a tensor product of evaluation modules. This paper contains a comprehensive description of the evaluation modules for q. This description includes the following topics. Given an evaluation module V for q, we display 24 bases for V that we find attractive. For each basis we give the matrices that represent the q-generators. We give the transition matrices between certain pairs of bases among the 24. It is known that the cyclic group Z4 acts on q as a group of automorphisms. We describe what happens when V is twisted via an element of Z4. We discuss how evaluation modules for q are related to Leonard pairs of q-Racah type. © 2014 Elsevier Inc. | |||||||
| 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 | ||||||||
| 関連タイプ | isVersionOf | |||||||
| 識別子タイプ | DOI | |||||||
| 関連識別子 | 10.1016/j.laa.2014.03.019 | |||||||
| 関連URI | ||||||||
| 関連タイプ | isIdenticalTo | |||||||
| 識別子タイプ | URI | |||||||
| 関連識別子 | http://www.elsevier.com/locate/issn/00243795 | |||||||
