A Method of Constructing Braided Hopf Algebras
نویسندگان
چکیده
Let A and B be two Hopf algebras and R ∈ Hom(B ⊗ A, A ⊗ B), the twisted tensor product Hopf algebra A#RB was introduced by S. Caenepeel et al in [3] and further studied in our recent work [6]. In this paper we give the necessary and sufficient conditions for A#RB to be a Hopf algebra with a projection. Furthermore, a braided Hopf algebra A is constructed by twisting the multiplication of A through a (γ, R)-pair (A, B). Finally we give a method to construct Radford’s biproduct directly by defining the module action and comodule action from the twisted tensor biproduct.
منابع مشابه
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