Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simultaneous unitary equivalences   Let A, B, C, D be given finite sets of pairs of n-by-n complex matrices. We
describe an algorithm to determine, with finitely many computations, whether
there is a single unitary matrix U such that each pair of matrices in A is
unitarily similar via U, each pair of matrices in B is unitarily congruent via
U, each pair of matrices in C is unitarily similar via \bar{U}, and each pair
of matrices in D is unitarily congruent via \bar{U}.

12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat