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arXiv · 1510.05827

Central extensions of Lie algebras of symplectic and divergence free vector fields

Bas Janssens·Cornelia Vizman
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Abstract

In this review paper, we present several results on central extensions of the Lie algebra of symplectic (Hamiltonian) vector fields, and compare them to similar results for the Lie algebra of (exact) divergence free vector fields. In particular, we comment on universal central extensions and integrability to the group level.

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Bas Janssens, Cornelia Vizman. 2015-10-20. Central extensions of Lie algebras of symplectic and divergence free vector fields. https://arxiv.org/abs/1510.05827

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