2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57875A nilpotent Lie algebra n_{n,1} with an (n-1) dimensional Abelian ideal is studied. All indecomposable solvable Lie algebras with n_{n,1} as their nilradical are obtained. Their dimension is at most n+2. The generalized Casimir invariants of n_{n,1} and of its solvable extensions are calculated. For n=4 these algebras figure in the Petrov classification of Einstein spaces. For larger values of n they can be used in a more general classification of Riemannian manifolds.16 pagesMathematical PhysicsExactly Solvable and Integrable Systems17B30; 81R05text