Universal Central Extension of the Lie Algebra of Hamiltonian Vector Fields
Symplectic Geometry
2016-12-21 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1506.00692,
title = {Universal Central Extension of the Lie Algebra of Hamiltonian Vector Fields},
author = {Bas Janssens and Cornelia Vizman},
journal= {arXiv preprint arXiv:1506.00692},
year = {2016}
}
Comments
42 pages. Several remarks and examples were added