Abstract:

Using the theory of braided structures in Hopf algebras, we introduced the concept of group cotwisted tensor biproducts and discussed their coquasitriangular structures, and established the sufficient and necessary conditions for group cotwisted tensor biproducts to be coquasitriangular Hopf group algebras. Thus we constructed a class of coquasitriangular Hopf group algebras.

Key words: Hopf group algebra, quasitriangular, tensor biproduct