Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solvable extensions of the naturally graded quasi-filiform Leibniz
  algebra of second type $\mathcal{L}^2$   For a sequence of the naturally graded quasi-filiform Leibniz algebra of
second type $\mathcal{L}^2$ introduced by Camacho, G\'{o}mez, Gonz\'{a}lez and
Omirov, all possible right and left solvable indecomposable extensions over the
field $\Bbb R$ are constructed so that the algebra serves as the nilradical of
the corresponding solvable Leibniz algebras we find in the paper.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys