Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graded Polynomial Identities for Matrices with the Transpose Involution
  over an Infinite Field   Let $F$ be an infinite field, and let $M_{n}(F)$ be the algebra of $n\times
n$ matrices over $F$. Suppose that this algebra is equipped with an elementary
grading whose neutral component coincides with the main diagonal. In this
paper, we find a basis for the graded polynomial identities of $M_{n}(F)$ with
the transpose involution. Our results generalize for infinite fields of
arbitrary characteristic previous results in the literature which were obtained
for the field of complex numbers and for a particular class of elementary
G-gradings.

16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th