Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extensions of Lie Brackets   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 case a complete connection can be fixed. The
problem of integrability is also studied.

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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con