Geodesic
Deformations of classical Lie algebras
Sbornik. Mathematics, Tome 191 (2000) no. 8, pp. 1171-1190

Voir la notice de l'article provenant de la source Math-Net.Ru

For a classical Lie algebra $L$ of characteristic $p>2$ and different from $C_2$ it is proved that $H^2(L,L)=0$ when $p=3$. A classical Lie algebra is understood to be the Lie algebra of a simple algebraic group, or its quotient algebra by the centre, or a Lie algebra $A_l^z$ with $l+1\equiv 0(p)$ or $E_6^z$ when $p=3$. 
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     author = {M. I. Kuznetsov and N. G. Chebochko},
     title = {Deformations of classical {Lie} algebras},
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M. I. Kuznetsov; N. G. Chebochko. Deformations of classical Lie algebras. Sbornik. Mathematics, Tome 191 (2000) no. 8, pp. 1171-1190. http://geodesic.mathdoc.fr/item/SM_2000_191_8_a2/