U_q(sl_2)的若个子余代数的自同构群  

Automorphism Groups of Several Subcoalgebras of U_q(sl_2)

作　　者：李雯樱 王璐 陈惠香[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《聊城大学学报（自然科学版）》2017年第3期17-20,40,共5页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目(11571298)资助

摘　　要：研究了三维单李代数的量子包络代数U_q的若干子余代数的自同构.首先构造了一个余代数C,证明C同构于U_q的某些子余代数,然后研究C的余代数自同构,给出所有这些自同构的表达式,由此刻画了C的余代数自同构群的结构.In this paper,we study the automorphisms of several subcoalgebras of the quantum enveloping algebra U_q of three dimensional simple Lie algebra.We first construct a coalgebra C,and show that C is isomorphic to some subcoalgebras of U_q.Then we study the automorphisms of C.The coalgebra automorphisms of C are all described,and the structure of the automorphism group of the coalgebra C are given.

关 键 词：量子包络代数 HOPF代数 余代数 余代数自同构 自同构群 

分 类 号：O153.3[理学—数学]