## Abstract

For a connected symplectic manifold, we determine the universal

central extension of the Lie algebra 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, and of its

compactly supported version.

central extension of the Lie algebra 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, and of its

compactly supported version.

Original language | English |
---|---|

Pages (from-to) | 4996-5047 |

Number of pages | 52 |

Journal | International Mathematics Research Notices |

Volume | 2016 |

Issue number | 16 |

Early online date | Oct 2015 |

DOIs | |

Publication status | Published - 2016 |