弱群余代数的交叉积

数学物理学报 ›› 2014, Vol. 34 ›› Issue (2): 327-337.

弱群余代数的交叉积

郭双建¹, 王栓宏²

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

收稿日期:2011-08-08 修回日期:2013-03-20 出版日期:2014-04-25 发布日期:2014-04-25
基金资助:
江苏省自然科学基金(BK2012736)资助.

Crossed Products of Weak Hopf Group Coalgebras

GUO Shuang-Jian¹, WANG Shuan-Hong²

1.School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025;
2.Department of Mathematics, |Southeast University, Nanjing 210096

Received:2011-08-08 Revised:2013-03-20 Online:2014-04-25 Published:2014-04-25
Supported by:
江苏省自然科学基金(BK2012736)资助.

摘要/Abstract

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.

关键词: 对偶定理, 弱Hopf群余代数, 弱群交叉积

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 Wang^{[7, 8]}.

Key words: Duality theorem, Weak Hopf group-coalgebra, Weak group crossed product

中图分类号:

16W30

郭双建, 王栓宏. 弱群余代数的交叉积[J]. 数学物理学报, 2014, 34(2): 327-337.

GUO Shuang-Jian, WANG Shuan-Hong. Crossed Products of Weak Hopf Group Coalgebras[J]. Acta mathematica scientia,Series A, 2014, 34(2): 327-337.

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