Poisson-Lie dynamical r-matrices from Dirac reduction
Quantum Algebra
2009-11-10 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0406274,
title = {Poisson-Lie dynamical r-matrices from Dirac reduction},
author = {L. Feher},
journal= {arXiv preprint arXiv:math/0406274},
year = {2009}
}
Comments
10 pages, v2: minor stylistic changes, v3: corrected eq. (4.3)