Double quantization on the coadjoint representation of sl(n)

For g=sl(n) we construct a two parametric U-h(g)-invariant family of algebras, (Sg)(t,h), that is a quantization of the function algebra Sg on the coadjoint representation. Along the parameter t the family gives a quantization of the Lie bracket. This family induces a two parametric U-h(g)-invariant quantization on the maximal orbits, which includes a quantization of the Kirillov-Kostant-Souriau bracket. Yet we construct a quantum de Rham complex on g*.