The quantum double of a factorizable weak Hopf algebra

Let (H,R) be a finite dimensional quasitriangular weak Hopf algebra over a field k. We first construct a weak Hopf algebra [(1)(H circle times H)(1)](R), which is based on the subalgebra of the tensor product algebra H circle times H. Next we verify that if H is factorizable, then the Drinfeld's quantum double of H is isomorphic to [(1)(H circle times H)(1)](R).