Symplectic structures associated to Lie-Poisson groups

Details Symplectic structures associated to Lie-Poisson groups Symplectic structures associated to Lie-Poisson groups

1993-03-04

arxiv.org/abs/hep-th/9303038v1

Commun.Math.Phys. 162 (1994) 147-174

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1007/BF02105190

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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