通过预量化的阿贝尔扩张
Abelian extensions via prequantization
摘要：
我们将保闭2-形式ω的一组双同态的预量化中心扩张（ω-不变双同态）推广到保闭向量值2-形式ω的一组双同态的阿贝尔扩张，直到线性同构（ω-等变双同态）.单连通李群的每一个阿贝尔扩张都可以作为这种预量化阿贝尔扩张的拉回而得到。
英文摘要：
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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