Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 53-58
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V. V. Panyukov. Representations of Lie algebras in positive characteristic. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 53-58. http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a11/
@article{VMUMM_1983_2_a11,
author = {V. V. Panyukov},
title = {Representations of {Lie} algebras in positive characteristic},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {53--58},
year = {1983},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a11/}
}
TY - JOUR
AU - V. V. Panyukov
TI - Representations of Lie algebras in positive characteristic
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 53
EP - 58
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a11/
LA - ru
ID - VMUMM_1983_2_a11
ER -
%0 Journal Article
%A V. V. Panyukov
%T Representations of Lie algebras in positive characteristic
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 53-58
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a11/
%G ru
%F VMUMM_1983_2_a11
We announce some results on irreducible representations of finite dimensional restricted Lie algebras over algebraically closed fields. We prove that every irreducible representation of a restricted Lie algebra can be built using irreducible representations of some solvable Lie algebras and of central extensions of simple Lie algebras. We give some applications of this result.