Given a simply connected nilpotent real Lie group $G$ and a discrete subgroup $\Gamma$ such that the nilmanifold $G/\Gamma$ is a compact complex manifold.
Is there any way to calculate (de Rahm) cohomologies of $G/\Gamma$? By Nomizu theorem: $H^p(G/\Gamma,\mathbb R)\cong H^p(\mathfrak g,\mathbb R)$?