  We discuss mock automorphic forms from the point of view of representation
theory, that is, obtained from weak harmonic Maass forms give rise to
nontrivial $(\mathfrak{g},K)$-cohomology. We consider the possibility of
replacing the `holomorphic' condition with `cohomological' when generalizing to
general reductive groups. Such a candidate allows for growing Fourier
coefficients, in contrast to automorphic forms under the Miatello-Wallach
conjecture. In the second part, we provide an overview of the connection with
BPS black hole counts as a physical motivation for studying mock automorphic
forms.
