Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On non-abelian extensions of Leibniz algebras   In this paper, first we classify non-abelian extensions of Leibniz algebras
by the second non-abelian cohomology. Then, we construct Leibniz 2-algebras
using derivations of Leibniz algebras, and show that under a condition on the
center, a non-abelian extension of Leibniz algebras can be described by a
Leibniz 2-algebra morphism. At last, we give a description of non-abelian
extensions in terms of Maurer-Cartan elements in a differential graded Lie
algebra.

12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex