| 弱Hopf代数上的对角交叉积及其半单性(英文) |
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| 引用本文： | 陈全国,王栓宏.弱Hopf代数上的对角交叉积及其半单性(英文)[J].南京大学学报(自然科学版),2011(1). |
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| 作者姓名： | 陈全国 王栓宏 |
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| 作者单位： | 东南大学数学系;伊犁师范学院数学系; |
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| 基金项目： | Supported by the NNSF of China(No.10871042); the NSF of Jiangsu Province(No.BK2009258) |
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| 摘 要： | 设H是一个具有对合对极的有限维弱Hopf代数,文中首先给出双边余模代数的定义,接着给出了对角交叉积的概念,使Drinfeld double是一个特例.最后,讨论了对角交叉积的半单性.
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| 关 键 词： | 弱Hopf代数 对角交叉积 半单性 |
DIAGONAL CROSSED PRODUCTS OVER WEAK-HOPF ALGEBRAS AND THEIR SEMISIMPLICITY |
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| Chen Quanguo,Wang Shuanhong.DIAGONAL CROSSED PRODUCTS OVER WEAK-HOPF ALGEBRAS AND THEIR SEMISIMPLICITY[J].Journal of Nanjing University: Nat Sci Ed,2011(1). |
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| Authors: | Chen Quanguo Wang Shuanhong |
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| Institution: | Chen Quanguo (Dept.of Math.,Southeast University,Nanjing,210096 PRC/ Dept.of Math.,Applied Research Institution,ILi Normal College,Yinning 835000 PRC) Wang Shuanhong (Dept.of Math.,210096 PRC) |
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| Abstract: | Let H be a finite dimensional weak-Hopf algebra with an involutory antipode S.In the paper,we introduce the concept of two-sided H-comodule algebras, then,as a generalization of the drinifeld boulble D(H),give the definition of diagonal crossed products and discusses its semisimplity. |
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| Keywords: | weak Hopf algebras diagonal crossed products semisimplicity |
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