Paired bialgebras and braided bialgebras  

对偶双代数和辫化双代数(英文)

作　　者：赵青虎[1] 张良云[2] 

机构地区：[1]南京气象学院数学系,南京210044 [2]南京农业大学数学系,南京210095

出　　处：《Journal of Southeast University(English Edition)》2003年第2期188-192,共5页东南大学学报（英文版）

摘　　要：First, we present semisimple properties of twisted products by means of constructing an algebra isomorphism between twisted products and crossed products, and point out that there exist some relations among braided bialgebras, paired bialgebras and Yang-Baxter coalgebras. Furthermore, we give an example to illustrate these relations by using Sweedler's 4-dimensional Hopf algebra. Finally, from starting off with Yang-Baxter coalgebras, we can construct some quadratic bialgebras such that they are braided bialgebras.通过建立扭曲积和交叉积之间的代数同构 ,首先得到了扭曲积的半单性质 .指出了对偶双代数、Yang Baxter余代数和辫化双代数之间的关系 ,并且以四维SweedlerHopf代数为例来说明 .最后由Yang Baxter余代数出发 ,构造二次双代数使之成为辫化双代数 .

关 键 词：braided bialgebras paired bialgebras twisted products quadratic bialgebras 

分 类 号：O153.3[理学—数学]