Poisson-Lie dynamical r-matrices from Dirac reduction

Details Poisson-Lie dynamical r-matrices from Dirac reduction Poisson-Lie dynamical r-matrices from Dirac reduction

2004-06-14

arxiv.org/abs/math/0406274v3

Czech. J. Phys. 54 (2004) 1265-1274

Mathematics

Quantum Algebra

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

Scientific paper

10.1007/s10582-004-9788-9

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.

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