Affine cohomology classes for filiform Lie algebras
Affine cohomology classes for filiform Lie algebras
We classify the cohomology spaces H 2 (g, K) for all filiform nilpotent Lie algebras of dimension n ≤ 11 over K and for certain classes of algebras of dimension n ≥ 12.The result is applied to the determination of affine cohomology classes [ω] ∈ H 2 (g, K).We prove …