Department of Mathematics,

Chalmers University of Gothenburg,

SE-41296 SWEDEN

E-mail: astolin@math.chalmers.se

**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.