弱Hopf代数wsl_q2的代数结构  

Structure of Weak Hopf Algebra wsl_q2

作　　者：李修勇[1] 程东明[1] 

机构地区：[1]河南科技大学理学院,河南洛阳471003

出　　处：《河南科技大学学报（自然科学版）》2005年第4期84-85,共2页Journal of Henan University of Science And Technology:Natural Science

基　　金：河南科技大学科研基金资助项目(2004ZY040)

摘　　要：将弱Hopf代数的一个特例弱量子群wslq2分解为Uq(sl2)和二元多项式代数的直和,从而将wslq2的表示归结为Uq(sl2)和二元多项式代数的表示。还研究了wslq2的限制表示,证明了wslq2(m,n)同构于Uq(m,n)和一个带关系的二元多项式代数的直和,从而将wslq2的限制表示归结为Uq(sl2)和一个带关系的二元多项式代数的表示。The weak quantum Hopf algebra wsl_q2 is decomposed into a direct sum of U_q(sl_2) and the algebra of polynomials of two variables.Hence the representation of wsl_q2 is reduced into that of U_q(sl_2) and the algebra of polynomials of two variables.The restricted weak quantum group wsl_q2, which is denoted by wsl_q2(m,n), is isomorphic to the direct sum of U_q(m,n) and the algebra of polynomials of two variables with certain relations.Hence the restricted representation of wsl_q2 is reduced into that of the direct sum of U_q(m,n) and the algebra of polynomials of two variables with certain relations.

关 键 词：弱HOPF代数 弱量子群 限制表示 

分 类 号：O152.5[理学—数学]