Finite-Dimensional Irreducible Modules of the Universal Askey–Wilson Algebra
Finite-Dimensional Irreducible Modules of the Universal Askey–Wilson Algebra
复制标题
通用Askey-Wilson代数的有限维不可约模
DOI：
--
复制
发表时间：
2012
影响因子：
2.4
通讯作者：
Hau
中科院分区：
文献类型：
--
作者：
Hau
Since the introduction of Askey–Wilson algebras by Zhedanov in 1991, the classification of the finite-dimensional irreducible modules of Askey–Wilson algebras remains open. A universal analog ▵q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\triangle_q}$$\end{document} of the Askey–Wilson algebras was recently studied. In this paper, we consider a family of infinite-dimensional ▵q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\triangle_q}$$\end{document}-modules. By the universal property of these ▵q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\triangle_q}$$\end{document}-modules, we classify the finite-dimensional irreducible ▵q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\triangle_q}$$\end{document}-modules when q is not a root of unity.
Since the introduction of Askey–Wilson algebras by Zhedanov in 1991, the classification of the finite-dimensional irreducible modules of Askey–Wilson algebras remains open. A universal analog ▵q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\triangle_q}$$\end{document} of the Askey–Wilson algebras was recently studied. In this paper, we consider a family of infinite-dimensional ▵q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\triangle_q}$$\end{document}-modules. By the universal property of these ▵q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\triangle_q}$$\end{document}-modules, we classify the finite-dimensional irreducible ▵q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\triangle_q}$$\end{document}-modules when q is not a root of unity.
Painlevé 方程、Cherednik 代数和 q-Askey 格式的汇合
影响因子：
1.7
作者：
Mazzocco M
通讯作者：
Mazzocco M
轨道黎曼曲面量子测地线函数的量子排序
DOI：
10.48550/arxiv.1309.3493
发表时间：
2013
期刊：
--
影响因子：
--
作者：
Chekhov L
通讯作者：
Chekhov L