
Journal of Lie Theory 19 (2009), No. 2, 237249 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 2cocycle 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 [ Fulltextpdf (193 KB)] for subscribers only. 