拟三角双代数的有限维Hopf代数  

Finite Dimensional Hopf Subalgebras of Quasitriangular Bialgebras

作　　者：陈颖[1] 

机构地区：[1]南通师范高等专科学校

出　　处：《哈尔滨师范大学自然科学学报》2017年第3期1-5,共5页Natural Science Journal of Harbin Normal University

基　　金：国家自然科学基金(11271208)

摘　　要：利用拟三角双代数的泛R-矩阵,定义了四种k-线性映射,证明了由这四种线性映射的像集生成的子代数是一个极小拟三角Hopf代数,因而任意拟三角双代数包含一个极小拟三角Hopf代数作为它的子双代数.讨论了有限维Hopf子代数U_R的性质.Using the R-matrix of quasitriangular bialgebra, four-linear maps were defined.Moreover,it was showed that the subalgebra generated by the images of the above four maps is always a minimal quasitriangular Hopf algebra. Then, Then, any quasitriangular bialgebra contains a minimal quasitriangular Hopf algebra as its subbialgebra. At last,we study the properties of the finite dimensional Hopf subalgebras UR.

关 键 词：HOPF代数 拟三角双代数 极小拟三角Hopf代数 有限维Hopf代数 

分 类 号：O15[理学—数学]