Geodesic
Deformations of simple Lie algebras
Izvestiya. Mathematics, Tome 5 (1971) no. 5, pp. 1120-1126 
A. N. Rudakov. Deformations of simple Lie algebras. Izvestiya. Mathematics, Tome 5 (1971) no. 5, pp. 1120-1126. http://geodesic.mathdoc.fr/item/IM2_1971_5_5_a7/
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     author = {A. N. Rudakov},
     title = {Deformations of simple {Lie} algebras},
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Voir la notice de l'article provenant de la source Math-Net.Ru

If we consider deformations of a Lie algebra over an arbitrary scheme, many simple Lie algebras of characteristic $p$ have deformations. It is shown that when $p>3$ the semisimple Lie algebras without deformations are the Lie algebras of classical type.

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[2] Manin Yu. I., Lektsii po algebraicheskoi geometrii, Mosk. un-t, M., 1968 | Zbl

[3] Teoriya algebr Li, Seminar “Sofus Li”, M., 1962

[4] Seligman G. B., Modular Lie algebras, New York, 1967 | MR

[5] Humphreys J. E., “Algebraic Lie algebras over field of prime characteristic”, Mem. Amer. Math. Soc., 71 (1967) | MR | Zbl