NEW TURAEV BRAIDED GROUP CATEGORIES BASED ON CROSSED HOPF p-QUASIGROUPS
In this paper, we introduce crossed Hopf p-quasigroups and show that Yetter-Drinfeld category over a crossed Hopf p-quasigroup is a Turaev braided group category. As applications, a new solution of Yang-Baxter type equation is given and some results obtained by Alonso Álvarez et al. and Zunino can be regarded as special cases.
crossed Hopf p-quasigroup, Turaev braided group category, Yetter-Drinfeld module.
