On Dynamical Adjoint Functor

We give an explicit formula relating the dynamical adjoint functor and dynamical twist over nonalbelian base to the invariant pairing on parabolic Verma modules. As an illustration, we give explicit $U\bigl(\mathfrak{sl}(n)\bigr)$ - and $U_\hbar\bigl(\mathfrak{sl}(n)\bigr)$ -invariant star product on projective spaces.