Journal of Lie Theory 19 (2009), No. 2, 237--249
Copyright Heldermann Verlag 2009
Central Extensions of Coverings of Symplectomorphism Groups
Cornelia Vizman
West University of Timisoara, Dept. of Mathematics, Bd. V. Parvan 4, 300223 Timisoara, Romania
vizman@math.uvt.ro
Each even dimensional submanifold of a symplectic manifold defines a Lie algebra 2-cocycle on the Lie algebra of symplectic vector fields. We study its integrability to the group of symplectic diffeomorphisms. When the submanifold is symplectic, we describe a coadjoint orbit of the corresponding extension.
Keywords: Coadjoint orbit, central extension.
MSC: 58B20
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