Geodesic
Cohomology for the Lie algebra of type $A_2$ over a field of characteristic $2$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 729-739 Cet article a éte moissonné depuis la source Math-Net.Ru

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We calculate the cohomology of the classical Lie algebra of type $A_2$ over an algebraically closed field $k$ of characteristic $p=2$ with coefficients in simple modules. The obtained results were used to describe the cohomology of the Lie algebra $\mathfrak{gl} _3(k)$ and the cohomology of the restricted Lie algebra of Cartan type $W_3(\mathbf{1})$ with coefficients in the divided power algebra $O_3(\mathbf{1}).$
Keywords: Lie algebra, cohomology.
Mots-clés : simple module 
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Sh. Sh. Ibraev; B. E. Turbayev. Cohomology for the Lie algebra of type $A_2$ over a field of characteristic $2$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 729-739. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a0/

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