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Symplectic structures associated to Lie-Poisson groups
Communications in Mathematical Physics, no. 1 (1995): 147-173
The Lie-Poisson analogues of the cotangent bundle and coadjoint orbits of a Lie group are considered. For the natural Poisson brackets the symplec- tic leaves in these manifolds are classified and the corresponding symplectic forms are described. Thus the construction of the Kirillov symplectic form is generalized for Lie-Poisson groups.
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