Geodesic
Central Extensions of Coverings of Symplectomorphism Groups
Cornelia Vizman1
1West University of Timisoara, Dept. of Mathematics, Bd. V. Parvan 4, 300223 Timisoara, Romania
Journal of Lie Theory, Tome 19 (2009) no. 2, pp. 237-249

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 58B20
Mots-clés : Coadjoint orbit, central extension

Cornelia Vizman  1

1 West University of Timisoara, Dept. of Mathematics, Bd. V. Parvan 4, 300223 Timisoara, Romania 
Cornelia Vizman. Central Extensions of Coverings of Symplectomorphism Groups. Journal of Lie Theory, Tome 19 (2009) no. 2, pp. 237-249. http://geodesic.mathdoc.fr/item/JOLT_2009_19_2_a3/
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     author = {Cornelia Vizman},
     title = {Central {Extensions} of {Coverings} of {Symplectomorphism} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {237--249},
     year = {2009},
     volume = {19},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2009_19_2_a3/}
}
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