Unitary highest weight modules for $\mathfrak{s}\mathfrak{u}(p,q)$ and ${\mathfrak{s}\mathfrak{o}}^{\ast }(2n)$ with fixed integral infinitesimal character

We classify unitary highest weight modules with a given integral infinitesimal character for the real Lie algebras $\mathfrak{s}\mathfrak{u}(p,q)$ and ${\mathfrak{s}\mathfrak{o}}^{\ast }(2n)$. We treat both regular and singular cases. For $\mathfrak{s}\mathfrak{u}(p,q)$ we identify the unitarizable modules in the Hasse diagrams of the highest weight orbit. Analogous results for the other Hermitian Lie algebras were given in our earlier publications.