Journal of Lie Theory

no. 2
Central Extensions of Coverings of Symplectomorphism Groups
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 
@article{JOLT_2009_19_2_a3,
     author = {C. 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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%0 Journal Article
%A C. Vizman
%T Central Extensions of Coverings of Symplectomorphism Groups
%J Journal of Lie Theory
%D 2009
%P 237-249
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%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.550/
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C. 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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