Universal Central Extension of the Lie Algebra of Hamiltonian Vector Fields

作者：Janssens Bas; Vizman Cornelia^*

来源：International Mathematics Research Notices, 2016, 2016(16): 4996-5047.

DOI：10.1093/imrn/rnv301

For a connected symplectic manifold X, we determine the universal central extension of the Lie algebra ham(X) of hamiltonian vector fields. We classify the central extensions of ham(X), of the Lie algebra sp(X) of symplectic vector fields, of the Poisson Lie algebra C-infinity(X), and of its compactly supported version C-c(infinity) (X).

• 出版日期2016