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- 2017
拟Hopf代数上BHQ何时是预辫子monoidal范畴
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Abstract:
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。
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
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