Universal Central Extension of the Lie Algebra of Hamiltonian Vector Fields
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.
 Publication:

arXiv eprints
 Pub Date:
 June 2015
 arXiv:
 arXiv:1506.00692
 Bibcode:
 2015arXiv150600692J
 Keywords:

 Mathematics  Symplectic Geometry;
 Mathematics  Differential Geometry;
 17B56;
 17B63;
 17B66
 EPrint:
 42 pages. Several remarks and examples were added