Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 5-8
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A. I. Kostrikin. A solvability criterion for a finite-dimensional Lie algebra. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 5-8. http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a1/
@article{VMUMM_1982_2_a1,
author = {A. I. Kostrikin},
title = {A solvability criterion for a finite-dimensional {Lie} algebra},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {5--8},
year = {1982},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a1/}
}
TY - JOUR
AU - A. I. Kostrikin
TI - A solvability criterion for a finite-dimensional Lie algebra
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 5
EP - 8
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a1/
LA - ru
ID - VMUMM_1982_2_a1
ER -
%0 Journal Article
%A A. I. Kostrikin
%T A solvability criterion for a finite-dimensional Lie algebra
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 5-8
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a1/
%G ru
%F VMUMM_1982_2_a1
We prove that a finite-dimensional Lie algebra $L$ over an algebraically closed field of characteristic $p>0$ is solvable if $L=A+B$ where $[A,A]=0$, $\dim A, and $B$ is an arbitrary nilpotent subalgebra. We study some more general situation, too.
