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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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/

[1] H. H. Andersen, J. C. Jantzen, “Cohomology of induced representations for algebraic groups”, Math. Annalen, 269 (1984), 487–525 | DOI | MR | Zbl

[2] C. P. Bendel, D. K. Nakano, C. Pillen, “Second cohomology groups for Frobenius kernels and related structurs”, Adv. Math., 209 (2007), 162–197 | DOI | MR | Zbl

[3] N. Bourbaki, Groupes et algèbres de Lie, Chap. 2 et 3, Hermann, Paris, 1972 | MR | Zbl

[4] E. Cline, B. Parshall, L. Scott, “Cohomology, hyperalgebras and representations”, J. of Algebra, 63 (1980), 98–123 | DOI | MR | Zbl

[5] A. S. Dzhumadil'daev, S. S. Ibraev, “Nonsplit extensions of modular Lie algebras of rank 2”, Homology, homotopy and applications, 4:2 (2002), 141–163 | DOI | MR | Zbl

[6] E. M. Friedlander, B. J. Parshall, “Cohomology of algebraic and related finite groups”, Invent. Math., 74 (1983), 85–117 | DOI | MR | Zbl

[7] E. M. Friedlander, B. J. Parshall, “Cohomology of Lie algebras and algebraic groups”, Amer. J. Math., 108 (1986), 235–253 | DOI | MR | Zbl

[8] G. Hochschild, “Cohomology of restricted Lie algebras”, Amer. J. Math., 76 (1954), 555–580 | DOI | MR | Zbl

[9] J. C. Jantzen, Representations of algebraic groups, Pure and Applied Mathematics, 131, Academic Press, Boston, 1987 | MR | Zbl

[10] J. C. Jantzen, “First cohomology groups for classical Lie algebras”, Progress in Math., 95 (1991), 289–315 | MR | Zbl

[11] J. B. Sullivan, “The second Lie algebra cohomology group and Weyl modules”, Pacific J. of Math., 86:1 (1980), 321–326 | DOI | MR | Zbl

[12] E. B. Vinberg, A. L. Onishchik, Seminar po gruppam Li i algebraicheskim gruppam, Nauka, Moscow, 1988 (Russian) | MR