Another construction of the braided $T$-category

Abstract

This paper introduces group-cograded monoidal Hom-Hopf algebras, and shows that this kind of group-cograded monoidal Hom-Hopf algebras are monoidal Hom-Hopf algebras in the Turaev category ${\mathcal{J}}_k$ introduced by Canepeel and De Lombaerde. Then we define the $p$-Yetter-Drinfeld category over a group-cograded monoidal Hom-Hopf algebra, and construct a new kind of braided $T$-categories.

15 pages

References in corpus (2)

• Monoidal Hom-Hopf algebras
• Constructing New Braided $T$-categories over Monoidal Hom-Hopf Algebras