From dynamical to non-dynamical twists

Journal article, 2005

We provide a construction which gives a twisting element for a universal enveloping algebra starting from a certain dynamical twist. This construction is a quantization of the analogous quasi-classical process given in [Karolinsky and Stolin, Lett. Math. Phys. 60 (2002), 257-274]. In particular, we reduce the computation of the twisting element for the classical r-matrix constructed from the Frobenius algebra the maximal parabolic subalgebra of sl(n) related to the simple root alpha(n-1), to the computation of the universal dynamical twist for sl(n).