Extensions of Lie Brackets
نویسنده
چکیده
We provide a framework for extensions of Lie algebroids, including non-abelian extensions and Lie algebroids over different bases. Our approach involves Ehresmann connections, which allows straight generalizations of classical constructions. We exhibit a filtration in cohomology and explain the associated spectral sequence. We also give a description of the groupoid integrating an extension in the case a complete connection can be fixed. Some integrability results are derived.
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تاریخ انتشار 2008