Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the decomposition of metabolic involutions   The problem of whether a metabolic idempotent of a central simple algebra
with involution is contained in an invariant quaternion subalgebra is
investigated. As an application, the similar problem is studied for
skew-symmetric elements whose squares lie in the square of the underlying
field.

37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci