2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227895We present an explicit description of the affine variety of Lie algebras of the maximal class (filiform Lie algebras): the formulas of polynomial equations that determine this variety are written. It can considered as the base of the nilpotent versal deformation of N-graded Lie algebra m_0.Rings and AlgebrasCommutative Algebra17B65; 17B55; 17B30text