关于量子仿射代数U_q(■)的若干三对角元

On Some Tridiagonal Elements of the Quantum Affine Aalgebra U_q(■)

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摘要研究量子仿射代数Uq(■)的若干与三对角线性变换密切相关的元素的基本性质,证明了这些元素在Uq(■)中的不可逆性以及这些元素在Uq(■)的基本赋值模上的作用构成了Leonard对. In this paper,some elements of the quantum affine algebra Uq（sl2） are investigated which are closely related to tridiagonal linear transformations. It is proved that these elements are not invertible in Uq（sl2）,and the actions of them form Leonard pairs on fundamental evaluation modules of Uq（sl2）.

作者黄弋钊王小我

机构地区四川大学数学学院重庆师范大学初等教育学院

出处《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第5期553-556,共4页 Journal of Sichuan Normal University（Natural Science）

基金国家自然科学基金(10301024)资助项目

关键词赋值映射 tridiagonal对 Leonard对 Evaluation maps Tridiagonal pair Leonard pair

分类号 O154.3 [理学—基础数学]

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四川师范大学学报（自然科学版）

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关于量子仿射代数U_q(■)的若干三对角元

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