Deformations of Lie algebras of type ${D}_{n}$ and their factoralgebras over the field of characteristic $2$

The study of global deformations of Lie algebras is related to the problem of classification of simple Lie algebras over fields of small characteristic. The classification of finite-dimensional simple Lie algebras is complete over algebraically closed fields of characteristic $p>3$. Over the fields of characteristic $2$, a large number of examples of Lie algebras are constructed that do not fit into previously known schemes. Description of the deformation of classical Lie algebras gives new examples of simple Lie algebras, and allows to describe known examples as deformations of classical Lie algebras. This paper describes the global deformations of Lie algebras of the type $D_l$ for $l>3$ and the factor of the algebra at the center $\overline{D}_l$ over the field of characteristic $2$.