# Cohomology of Infinite Dimensional Lie Algebra

I am looking for a explicit relation for adjoint cohomology of infinite dimensional Lie algebras (specifically smooth vector fields on a manifold), is it possible to apply Hochschild-Serre spectral sequence for these algebras?

• There is no assumption of finite dimensionality for the Hochschild-Serre spectral sequence. – abx Jan 14 '18 at 19:36