  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 $p>3$
(\cite{Strade1}-\cite{Strade3}). 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 first gives new examples of simple Lie algebras, and second allows you
to describe known examples as deformations of classical Lie algebras, as is
done, for example, in \cite{CKK}. This paper describes the spaces of local
deformations of Lie algebras of the type $D_l$ for $l>3$ and the factor of the
algebra at the center $\overline{D}_l$, and describes some global deformations
of Lie algebras of these types that are not rigid.
