2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99219We study symplectic structures on characteristically nilpotent Lie algebras (CNLAs) by computing the cohomology space $H^2(\Lg,k)$ for certain Lie algebras $\Lg$. Among these Lie algebras are filiform CNLAs of dimension $n\le 14$. It turns out that there are many examples of CNLAs which admit a symplectic structure. A generalization of a sympletic structure is an affine structure on a Lie algebra.Symplectic GeometryRings and AlgebrasCharacteristically nilpotent Lie algebras and symplectic structurestext