  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].
