二维非Abel李代数包络代数Ore扩张的不可约表示  

Irreducible representations of Ore extensions of enveloping algebra of two-dimensional non-abelian Lie algebra

作　　者：李诗雨 陈晨 陈惠香[1] LI Shi-yu;CHEN Chen;CHEN Hui-xiang(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,Jiangsu,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《山东大学学报（理学版）》2022年第12期75-80,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12071412)。

摘　　要：研究特征为零代数闭域上二维非Abel李代数包络代数的三类Hopf-Ore扩张的不可约表示,分别给出这三类Ore扩张上有限维单模的结构和同构分类。The irreducible representations of three classes of Hopf-Ore extensions of the enveloping algebra of 2-dimensional non-abelian Lie algebra over an algebraically closed field of characteristic zero are studied. The structures and isomorphism classifications of the finite dimensional simple modules over the three classes of Ore extensions are given respectively.

关 键 词：HOPF代数 包络代数 ORE扩张 不可约表示 单模 

分 类 号：O152.5[理学—数学]