Universal central extension of the Lie algebra of Hamiltonian vector fields

Bas Janssens, Cornelia Vizman

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

Abstract

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∞(X), and of its compactly supported version C∞c(X).
Original languageEnglish
Pages (from-to)4996-5047
Number of pages52
JournalInternational Mathematics Research Notices
Volume2016
Issue number16
DOIs
Publication statusPublished - 1 Oct 2015
Externally publishedYes

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