  We use covariant density functional theory to obtain the equation of state
(EoS) of matter in compact stars at non-zero temperature, including the full
baryon octet as well as the $\Delta(1232)$ resonance states. Global properties
of hot $\Delta$-admixed hypernuclear stars are computed for fixed values of
entropy per baryon ($S/A$) and lepton fraction ($Y_L$). Universal relations
between the moment of inertia, quadrupole moment, tidal deformability, and
compactness of compact stars are established for fixed values of $S/A$ and
$Y_L$ that are analogous to those known for cold catalyzed compact stars. We
also verify that the $I$-Love-$Q$ relations hold at finite temperature for
constant values of $S/A$ and $Y_L$.
