Deformations of Lie algebras of Type Dn and Their Factoralgebras over the Field of Characteristic 2

The study of deformations of Lie algebras is related to the problem of classification of simple Lie algebras over fields of small characteristics. The classification of finite-dimensional simple Lie algebras over algebraically closed fields of characteristic is completed. Over fields of characteristic 2, a large number of examples of Lie algebras are constructed that do not fit into previously known schemes. Description of deformations of classical Lie algebras gives new examples of simple Lie algebras and gives a possibility to describe known examples as deformations of classical Lie algebras. In this paper, we describe global deformations of Lie algebras of the type D n and their quotient algebras by the center in the case of a field of characteristic 2.