Abelian extensions via prequantization

Cornelia Vizman

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arXiv · 0910.3906

Abelian extensions via prequantization

Cornelia Vizman

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Abstract

We generalize the prequantization central extension of a group of diffeomorphisms preserving a closed 2-form ω(ω-invariant diffeomorphisms) to an abelian extension of a group of diffeomorphisms preserving a closed vector valued 2-form ω, up to a linear isomorphism (ω-equivariant diffeomorphisms). Every abelian extension of a simply connected Lie group can be obtained as the pull-back of such a prequantization abelian extension.

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Cornelia Vizman. 2011-11-16. Abelian extensions via prequantization. https://arxiv.org/abs/0910.3906

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