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arXiv · 1506.00692

Universal Central Extension of the Lie Algebra of Hamiltonian Vector Fields

Bas Janssens·Cornelia Vizman
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Abstract

We determine the universal central extension of the Lie algebra of hamiltonian vector fields, thereby classifying its central extensions. Furthermore, we classify the central extensions of the Lie algebra of symplectic vector fields, of the Poisson Lie algebra, and of its compactly supported version.

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Bas Janssens, Cornelia Vizman. 2016-12-20. Universal Central Extension of the Lie Algebra of Hamiltonian Vector Fields. https://doi.org/10.1093/imrn%2Frnv301

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