Comparison of Poisson structures and Poisson-Lie dynamical r-matrices
Quantum Algebra
2018-09-10 v3 Differential Geometry
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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Cite
@article{arxiv.math/0412342,
title = {Comparison of Poisson structures and Poisson-Lie dynamical r-matrices},
author = {B. Enriquez and P. Etingof and I. Marshall},
journal= {arXiv preprint arXiv:math/0412342},
year = {2018}
}
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9 pages