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

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

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 
@article{SEMR_2021_18_2_a0,
     author = {Sh. Sh. Ibraev and B. E. Turbayev},
     title = {Cohomology for the {Lie} algebra of type $A_2$ over a field of characteristic $2$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {729--739},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a0/}
}
TY  - JOUR
AU  - Sh. Sh. Ibraev
AU  - B. E. Turbayev
TI  - Cohomology for the Lie algebra of type $A_2$ over a field of characteristic $2$
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2021
SP  - 729
EP  - 739
VL  - 18
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a0/
LA  - en
ID  - SEMR_2021_18_2_a0
ER  - 
%0 Journal Article
%A Sh. Sh. Ibraev
%A B. E. Turbayev
%T Cohomology for the Lie algebra of type $A_2$ over a field of characteristic $2$
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2021
%P 729-739
%V 18
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a0/
%G en
%F SEMR_2021_18_2_a0
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/