Coadjoint Poisson actions of Poisson-Lie groups
arXiv:math/9902065 · doi:10.2991/jnmp.1999.6.3.9
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.