Geodesic
On the second cohomology groups of exceptional Lie algebras in positive characteristic
Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 104-111

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The second cohomology groups of exceptional Lie algebras $E_n$ ($n=6,7,8$), $F_4$, $G_2$ over an algebraically closed field of characteristic $p\ge h+5$ with coefficients in modules, dual to Weyl modules, are explicitly described. Here $h$ is the Coxeter number. 
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     title = {On the second cohomology groups of exceptional {Lie} algebras in positive characteristic},
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S. S. Ibraev. On the second cohomology groups of exceptional Lie algebras in positive characteristic. Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 104-111. http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a4/