New Braided $T$-Categories over Hopf (co)quasigroups

Wei Wang, Shuanhong Wang

Let $H$ be a Hopf quasigroup with bijective antipode and let $Au{t}_{HQG}(H)$ be the set of all Hopf quasigroup automorphisms of $H$. We introduce a category ${_{H}\mathcal{YDQ}^{H}}…