Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $3$-dimensional loops on non-solvable reductive spaces   We treat the almost differentiable left A-loops as images of global
differentiable sharply transitive sections $\sigma :G/H \to G$ for a Lie group
$G$ such that $G/H$ is a reductive homogeneous manifold. In this paper we
classify all $3$-dimensional connected strongly left alternative almost
differentiable left A-loops $L$, such that for the corresponding section
$\sigma :G/H \to G$ the Lie group $G$ is non-solvable.

37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ