Yetter-Drinfeld modules for group-cograded Hopf quasigroups

Huili Liu, Tao Yang, Lingli Zhu

Let $H$ be a crossed group-cograded Hopf quasigroup. We first introduce the notion of $p$-Yetter-Drinfeld quasimodule over $H$. If the antipode of $H$ is bijective, we show that th…