Constructing New Braided $T$-Categories via Weak Monoidal Hom-Hopf Algebras

Wei Wang, Shuanhong Wang, Xiaohui Zhang

In this paper, we define and study weak monoidal Hom-Hopf algebras, which generalize both weak Hopf algebras and monoidal Hom-Hopf algebras. If $H$ is a weak monoidal Hom-Hopf alge…