论文标题
编织的交叉类别，越过越过的群弱的弱霍普夫准流群
Braided crossed category over crossed group-cograded weak Hopf quasigroups
论文作者
论文摘要
在本文中，我们将刘[10]的主要结果推广到弱的HOPF共群案例。我们首先定义和研究群体范围的弱HOPF准群，它们概括了群体中的Hopf Quasigroups和Hopf群 - 核核心。然后，我们介绍了p-yetter-drinfeld弱的准模块的概念，而较弱的hopf ic-quasigroupsH。如果h的抗de鸟是h的抗植物，我们表明，ydter-drinfeld弱弱的弱量子模质的ydwq（h）类别是交叉的类别，也是一个crossed yd yd yd yd（h）。 类别。
In this paper, we generalizing the main result in Liu[10] to weak Hopf coquasigroups case. We first define and study group-cograded weak Hopf quasigroups, which generalize both group-cograded Hopf quasigroups and weak Hopf group-coalgebras. Then we introduce the notion of p-Yetter-Drinfeld weak quasimodule over group-cograded weak Hopf quasigroups H. If the antipode of H is bijective, we show that the category YDWQ(H) of Yetter-Drinfeld weak quasimodules over H is a crossed category, and the subcategory YD(H) of Yetter-Drinfeld modules is a braided crossed category.
