Poisson-Lie dynamical r-matrices from Dirac reduction

Abstract

The Dirac reduction technique used previously to obtain solutions of the classical dynamical Yang-Baxter equation on the dual of a Lie algebra is extended to the Poisson-Lie case and is shown to yield naturally certain dynamical r-matrices on the duals of Poisson-Lie groups found by Etingof, Enriquez and Marshall in math.QA/0403283.Comment: 10 pages, v2: minor stylistic changes, v3: corrected eq. (4.3