张量型Hom-Hopf代数的余ribbon元

Coribbon Forms on Monoidal Hom-Hopf Algebras

定义并讨论张量型Hom-Hopf代数的广义Hom余模范畴,利用Tannaka型对偶方法,刻画其刚性结构与平衡结构,进一步给出其为ribbon范畴的等价条件,并引入余ribbon元的定义.

We defined and discussed the category of generalized Hom-comodules of a monoidal Hom-Hopf algebra. We used the Tannaka dual method to describe the rigid and balanced structures. Furthermore, we gave equivalent conditions of the ribbon category, and introduced the definition of the coribbon forms.