Is there any comprehensive list of examples for computed
de-Rham cohomology-groups
Lie-algebra-cohomology groups $H^i(\mathfrak{g},\mathbb{R})$
equivariant de-Rham cohomology groups ?
Especially I am interested in a comprehensive list of examples (or classes of examples) of
a) manifolds with vanishing first and second de-Rham-cohomology
b) lie-algebras with vanishing first and second lie-algebra-cohomology