%0 Journal Article
%T 拟Hopf代数上BHQ何时是预辫子monoidal范畴<br>When is BHQ a pre-braided category over quasi-Hopf algebras
%A 郭双建
%A 李怡铮&lt
%A br&gt
%A GUO Shuang-jian
%A LI Yi-zheng
%J 山东大学学报（理学版）
%D 2017
%R 10.6040/j.issn.1671-9352.0.2017.177
%X 摘要： 设H为带有可逆对极的拟Hopf代数, B为左拟Yetter-Drinfeld模代数,并且HBQ为拟Hopf Yetter-Drinfeld(H,B)-模范畴。讨论了范畴HBQ何时是预辫子monoidal范畴。假设B是H交换的,则拟Hopf Yetter-Drinfeld模范畴HQ上的辫子诱导出HBQ上的预辫子当且仅当HBQ中的每一个对象是dyslectic。<br>Abstract: Let H be a quasi-Hopf algebra with invertible antipode, B a left quasi Yetter-Drinfeld module algebra and HBQ the category of quasi Hopf Yetter-Drinfeld (H,B)-modules. It is discussed when the category HBQ is a pre-braided monoidal category. The following is proved: assume that B is H-commutative, then the braiding on the category of quasi Yetter-Drinfeld modules HQ induces a pre-braiding on HBQ if and only if every object of HBQ is dyslectic
%K 辫子monoidal范畴
%K 拟Yetter-Drinfeld模代数
%K 拟三角拟Hopf代数
%K smash积
%K &lt
%K br&gt
%K braided monoidal category
%K smash product
%K quasitriangular quasi-Hopf algebra
%K quasi Yetter-Drinfeld module algebra
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.177