Coadjoint Poisson actions of Poisson-Lie groups
Boris A. Kupershmidt, Ognyan S. Stoyanov
math.QAarXiv:math/9902065
Abstract
A Poisson-Lie group acting by the coadjoint action on the dual of its Lie algebra induces on it a non-trivial class of quadratic Poisson structures extending the linear Poisson bracket on the coadjoint orbits.
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