Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splitting fields of mixed Cayley graphs over abelian groups   The splitting field $\mathbb{SF}(\Gamma)$ of a mixed graph $\Gamma$ is the
smallest field extension of $\mathbb{Q}$ which contains all eigenvalues of the
Hermitian adjacency matrix of $\Gamma$. The extension degree
$[\mathbb{SF}(\Gamma):\mathbb{Q}]$ is called the algebraic degree of $\Gamma$.
In this paper, we determine the splitting fields and algebraic degrees of mixed
Cayley graphs over abelian groups. This generalizes the main results of [K.
M\"{o}nius, Splitting fields of spectra of circulant graphs, J. Algebra 594(15)
(2022) 154--169] and [M. Kadyan, B. Bhattacharjya, Integral mixed Cayley graphs
over abelian groups, Electron. J. Combin. 28(4) (2021) \#P4.46].

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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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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: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: econ