Comparison of Poisson structures and Poisson-Lie dynamical r-matrices
B. Enriquez, P. Etingof, I. Marshall
math.QAarXiv:math/0412342
Abstract
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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