A categorical approach to dynamical quantum groups

Abstract We present a categorical point of view on dynamical quantum groups in terms categories Harish-Chandra bimodules. prove Tannaka duality theorems for forgetful functors into the monoidal category bimodules slight modification notion bialgebroid. Moreover, we show that standard $F(G)$ and $F_q(G)$ are related to parabolic restriction classical Finally, exhibit natural Weyl symmetry functor using Zhelobenko operators it gives rise action group.