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Poisson-Lie dynamical r-matrices from Dirac reduction

arXiv:math/0406274 · doi:10.1007/s10582-004-9788-9

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.

10 pages, v2: minor stylistic changes, v3: corrected eq. (4.3)