Comparison of Poisson structures and Poisson-Lie dynamical r-matrices

We construct a Poisson isomorphism between the formal Poisson manifolds g^* and G*, where g is a finite-dimensional quasitriangular Lie bialgebra. Here g^* is equipped with its Lie-Poisson (or Kostant-Kirillov-Souriau) structure, and G* with its Poisson-Lie structure. We also quantize the Poisson-Lie dynamical r-matrices of Balog-Fehér-Palla.