
arXiv: math/9902065
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.
Mathematics - Differential Geometry, Relations of dynamical systems with symplectic geometry and topology, Differential Geometry (math.DG), Momentum maps; symplectic reduction, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Symmetries, invariants, invariant manifolds, momentum maps, reduction, Mathematical Physics (math-ph), Mathematical Physics
Mathematics - Differential Geometry, Relations of dynamical systems with symplectic geometry and topology, Differential Geometry (math.DG), Momentum maps; symplectic reduction, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Symmetries, invariants, invariant manifolds, momentum maps, reduction, Mathematical Physics (math-ph), Mathematical Physics
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