Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (1982), pp. 63-66
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S. P. Mishchenko. Varieties of Lie algebras with weak growth of the sequence of codimensions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (1982), pp. 63-66. http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a17/
@article{VMUMM_1982_5_a17,
author = {S. P. Mishchenko},
title = {Varieties of {Lie} algebras with weak growth of the sequence of codimensions},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {63--66},
year = {1982},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a17/}
}
TY - JOUR
AU - S. P. Mishchenko
TI - Varieties of Lie algebras with weak growth of the sequence of codimensions
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 63
EP - 66
IS - 5
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a17/
LA - ru
ID - VMUMM_1982_5_a17
ER -
%0 Journal Article
%A S. P. Mishchenko
%T Varieties of Lie algebras with weak growth of the sequence of codimensions
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 63-66
%N 5
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a17/
%G ru
%F VMUMM_1982_5_a17
We prove that any variety of Lie algebras with a sequence of codimensions of multilinear identities which grows “weakly”, in particular as a polynomial, is a subvariety in the variety of all Lie algebras whose commutator subalgebra is nilpotent of class at most $c$, for some fixed integer $c$.
