Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An octonionic construction of $E_8$ and the Lie algebra magic square   We give a new construction of the Lie algebra of type $E_8$, in terms of
$3\times3$ matrices, such that the Lie bracket has a natural description as the
matrix commutator. This leads to a new interpretation of the Freudenthal-Tits
magic square of Lie algebras, acting on themselves by commutation.

16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess