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Abelian extensions via prequantization
Authors:Cornelia Vizman
Institution:1.Department of Mathematics,West University of Timisoara,Timisoara,Romania
Abstract:We generalize the prequantization central extension of a group of diffeomorphisms preserving a closed 2-form ω, 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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