Cohomology of solvable lie algebras and solvmanifolds

The cohomology H_{mathfrakgmathfrak{g}) of the tangent Lie algebra mathfrakgmathfrak{g} of the group G with coefficients in the one-dimensional representation mathfrakgmathfrak{g} mathbbKmathbb{K} defined by [(W)tilde] mathfrakg tilde Omega _mathfrak{g} of H¹(G/mathfrakgmathfrak{g}.}