Quantization of orbits in coadjoint representation and dynamical Yang-Baxter equation

Abstract:
Recently a connection between Poisson homogeneous spaces and the classical dynamical Yang-Baxter equation was found in a series of papers by J-H. Lu, E.Karolinsky and A. Stolin.

In the talk we will give a partial quantization of these results. Namely we will explain how to construct *-products on some class of coadjoint orbits from quantum dynamical twists. Some relations to the representation theory will be explained as well.