Defining relations for classical Lie algebras of polynomial vector fields.
Defining relations for classical Lie superalgebras without Cartan matrices.
Determination of endomorphisms of free metabelian Lie algebras.
Different methods for the study of obstructions in the schemes of Jacobi
In this paper the problem of obstructions in Lie algebra deformations is studied from four different points of view. First, we illustrate the method of local ring, an alternative to Gerstenhaber’s method for Lie deformations. We draw parallels between both methods showing that an obstruction class corresponds to a nilpotent local parameter of a versal deformation of the law in the scheme of Jacobi. Then, an elimination process in the global ring, which defines the scheme, allows us to obtain nilpotent...