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

B. Enriquez·P. Etingof·I. Marshall
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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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B. Enriquez, P. Etingof, I. Marshall. 2004-12-17. Comparison of Poisson structures and Poisson-Lie dynamical r-matrices. https://arxiv.org/abs/math/0412342

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