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Working paper

Deformations of Lie algebras of type ${D}_{l}$

arxiv.org. math. Cornell University, 2017. No. 1712.01810.
The description of global deformations of Lie algebras is important since it is related to unsolved problem of the classification of simple Lie algebras over a field of small characteristic. In this paper we study global deformations of Lie algebras of type ${D}_{l}$ over an algebraically closed field K of characteristic 2. It is proved that Lie algebras of type $\bar{D_{l}}$  are rigid for odd $l>3$. Some global deformations of Lie algebras of type ${D}_{l}$ are constructed for even $l\ge 4$.