The de Rham cohomology of a Lie group modulo a dense subgroup

Brant Clark, Francois Ziegler

Let $H$ be a dense subgroup of a Lie group $G$ with Lie algebra $\mathfrak{g}$. We show that the (diffeological) de Rham cohomology of $G/H$ equals the Lie algebra cohomology of $\m…