Comparison of Poisson structures and Poisson-Lie dynamical r-matrices

Details Comparison of Poisson structures and Poisson-Lie dynamical r-matrices Comparison of Poisson structures and Poisson-Lie dynamical r-matrices

2004-12-17

arxiv.org/abs/math/0412342v2

Mathematics

Quantum Algebra

9 pages

Scientific paper

We construct a Poisson isomorphism between the formal Poisson manifolds g^*
and G^*, where g is a finite dimensional quasitriangular Lie bialgebra. Here
g^* is equipped with its Lie-Poisson (or Kostant-Kirillov-Souriau) structure,
and G^* with its Poisson-Lie structure. We also quantize Poisson-Lie dynamical
r-matrices of Balog-Feher-Palla.

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