| 弱群余代数的交叉积 |
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| 引用本文： | 郭双建,王栓宏.弱群余代数的交叉积[J].数学物理学报(A辑),2014,34(2):327-337. |
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| 作者姓名： | 郭双建 王栓宏 |
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| 作者单位： | 1.贵州财经大学 数学与统计学院 贵阳 550025;
2.东南大学数学系 南京 210096 |
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| 基金项目： | 江苏省自然科学基金(BK2012736)资助. |
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| 摘 要： | 该文引入弱群交叉积的概念,并给出弱群交叉积代数和通常的张量积余代数构成弱半Hopf群余代数的充要条件,接着证明了弱群交叉积上的对偶定理,推广了沈和王~(7-8])的主要结果.
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| 关 键 词： | 对偶定理 弱Hopf群余代数 弱群交叉积 |
| 收稿时间： | 2011-08-08 |
| 修稿时间： | 2013-03-20 |
Crossed Products of Weak Hopf Group Coalgebras |
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| GUO Shuang-Jian,WANG Shuan-Hong.Crossed Products of Weak Hopf Group Coalgebras[J].Acta Mathematica Scientia,2014,34(2):327-337. |
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| Authors: | GUO Shuang-Jian WANG Shuan-Hong |
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| Institution: | 1.School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025;
2.Department of Mathematics, |Southeast University, Nanjing 210096 |
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| Abstract: | In this paper, the authors introduce the notion of a weak group crossed product and give a sufficient and necessary condition under which weak group crossed product algebras and the usual tensor product coalgebra become a weak semi-Hopf group-coalgebra. Finally, we prove a duality theorem for weak group crossed products, which extends the main results given by Shen and Wang7, 8]. |
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| Keywords: | Duality theoremzz Weak Hopf group-coalgebrazz Weak group crossed productzz |
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