Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Extensions of Lie Algebroids   We study the extension of a Lie algebroid by a representation up to homotopy,
including semidirect products of a Lie algebroid with such representations. The
extension results in a higher Lie algebroid. We give exact Courant algebroids
and string Lie 2-algebras as examples of such extensions. We then apply this to
obtain a Lie 2-groupoid integration of an exact Courant algebroid.

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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th