Abelian extensions via prequantization |
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Authors: | Cornelia Vizman |
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Institution: | 1.Department of Mathematics,West University of Timisoara,Timisoara,Romania |
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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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Keywords: | |
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