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Regular version of the site

Article

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

Russian Mathematics. 2021. Vol. 65. No. 8. P. 75-78.

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 p > 3 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 Dn and their quotient algebras Dn by the center in the case of a field of
characteristic 2.