| 用quiver构造拟三角Hopf代数 |
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| 引用本文： | 王艳华,叶郁.用quiver构造拟三角Hopf代数[J].数学年刊A辑(中文版),2007(1). |
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| 作者姓名： | 王艳华 叶郁 |
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| 作者单位： | 上海财经大学应用数学系，中国科学技术大学数学系 |
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| 基金项目： | 国家自然科学基金(No.10501041，No．10271113)，安徽省自然科学基金(No.2004Kj352)资助的项目 |
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| 摘 要： | 利用quiver方法确定了一个广义Taft代数具有拟三角Hopf结构当且仅当它是Sweedler 4维Hopf代数．用不同于文15]的方法,对任意的正整数n,构造出一类拟三角Hopf代数H(n)．
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| 关 键 词： | quiver 路余代数 拟三角Hopf代数 |
Construct Quasitriangular Hopf Algebras via Quivers |
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| WANG Yanhua.Construct Quasitriangular Hopf Algebras via Quivers[J].Chinese Annals of Mathematics,2007(1). |
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| Authors: | WANG Yanhua |
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| Institution: | WANG Yanhua Department of Applied Mathematics,Shanghai University of Franance and Economics,Shanghai 200433,China,YE Yu Department of Mathematics,University of Science and Technology of China,Hefei 230026,Anhui,China. |
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| Abstract: | By using the quiver technique it is proved that a generalized Taft algebra admits a quasitriangular Hopf structure if and only if it is Sweedler's 4dimensional Hopf algebra. Using different methods from 15].Also a class of quasitriangular Hopf algebras H(n) via quivers,for each positive integer n,is gived. |
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| Keywords: | Quiver Path coalgebra Quasitriangular Hopf algebra |
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