Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Octonionic presentation for the Lie group $SL(2,{\mathbb O})$   The purpose of this paper is to provide an octonionic description of the Lie
group $SL(2,{\mathbb O})$. The main result states that it can be obtained as a
free group generated by invertible and determinant preserving transformations
from $\mathfrak{h}_2({\mathbb O})$ onto itself. An interesting characterization
is given for the generators of $G_2$. Also, explicit isomorphisms are
constructed between the Lie algebras $\mathfrak{sl}(2,{\mathbb K})$, for
${\mathbb K}={\mathbb R}, {\mathbb C}, {\mathbb H}, {\mathbb O}$, and their
corresponding Lorentz algebras.

23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio