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arxiv: hep-th/9303038 · v1 · submitted 1993-03-04 · ✦ hep-th · math.SG

Symplectic structures associated to Lie-Poisson groups

A. Yu. Alekseev , A. Z. Malkin This is my paper
classification ✦ hep-th math.SG
keywords symplecticlie-poissongroupsanaloguesassociatedbracketsbundleclassified
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The Lie-Poisson analogues of the cotangent bundle and coadjoint orbits of a Lie group are considered. For the natural Poisson brackets the symplectic 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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