Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: *-polynomial identities of 4x4 upper triangular matrices with the
  reflection involution   Let $UT_4(F)$ be $4\times 4$ upper triangular matrix algebra over a field $F$
of characteristic zero and let $\mathcal{A}$ be the subalgebra of $UT_4(F)$
linearly generated by $\{\mathbf{e}_{ij}:1 \leq i\leq j \leq 4 \} \setminus
\mathbf{e}_{23}$ where $\{\mathbf{e}_{ij} : 1 \leq i\leq j \leq 4\}$ is the
standard basis of $UT_4(F)$. We describe the set of all $*$-polynomial
identities for $\mathcal{A}$ with the involution defined by the reflection of
second diagonal.

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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph