弱群余代数的交叉积  

Crossed Products of Weak Hopf Group Coalgebras

作　　者：郭双建[1] 王栓宏[2] 

机构地区：[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

出　　处：《数学物理学报（A辑）》2014年第2期327-337,共11页Acta Mathematica Scientia

基　　金：江苏省自然科学基金(BK2012736)资助

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.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].

关 键 词：对偶定理 弱Hopf群余代数 弱群交叉积 

分 类 号：O153.3[理学—数学]