In this paper, we construct a new example of Hopf group coalgebras by con- sidering Radford's biproduct Hopf algebra in the Turaev category. Furthermore, we find some sufficient and necessary conditions for such Radf...In this paper, we construct a new example of Hopf group coalgebras by con- sidering Radford's biproduct Hopf algebra in the Turaev category. Furthermore, we find some sufficient and necessary conditions for such Radford's biproduct Hopf algebra to admit quasitriangulax structures in the sense of Turaev group coalgebras.展开更多
文摘In this paper, we construct a new example of Hopf group coalgebras by con- sidering Radford's biproduct Hopf algebra in the Turaev category. Furthermore, we find some sufficient and necessary conditions for such Radford's biproduct Hopf algebra to admit quasitriangulax structures in the sense of Turaev group coalgebras.