Journal of Lie Theory

no. 2
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, Volume 19 (2009) no. 2, pp. 237-249
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.
DOI: 10.5802/jolt.550
Classification: 58B20
Keywords: 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, Volume 19 (2009) no. 2, pp. 237-249. doi: 10.5802/jolt.550
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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},
     doi = {10.5802/jolt.550},
     zbl = {1185.53092},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.550/}
}
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