Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non abelian cohomology of extensions of Lie algebras as Deligne groupoid   In this note we show that the theory of non abelian extensions of a Lie
algebra $\mathfrak{g}$ by a Lie algebra $\mathfrak{h}$ can be understood in
terms of a differential graded Lie algebra $L$. More precisely we show that the
non-abelian cohomology $H^2_{nab}(\mathfrak{g},\mathfrak{h})$ is
$\mathcal{MC}(L)$, the $\pi_0$ of the Deligne groupoid of $L$.

27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
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The categories of this paper are: eess
1
The categories of this paper are: cs