Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 607-616
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I. R. Khanina. A necessary condition of co-length finiteness of Lie algebra variety in the case of zero-characteristic field. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 607-616. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a16/
@article{FPM_2000_6_2_a16,
author = {I. R. Khanina},
title = {A~necessary condition of co-length finiteness of {Lie} algebra variety in the~case of zero-characteristic field},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {607--616},
year = {2000},
volume = {6},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a16/}
}
TY - JOUR
AU - I. R. Khanina
TI - A necessary condition of co-length finiteness of Lie algebra variety in the case of zero-characteristic field
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 607
EP - 616
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a16/
LA - ru
ID - FPM_2000_6_2_a16
ER -
%0 Journal Article
%A I. R. Khanina
%T A necessary condition of co-length finiteness of Lie algebra variety in the case of zero-characteristic field
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 607-616
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a16/
%G ru
%F FPM_2000_6_2_a16
This article examines how some characteristics of Lie algebra variety like co-length are connected with the variety structure in the case of zero-characteristic field. In particular, it is proved that co-length finiteness for the variety $V$ implies the inclusion $U_2\not\subset V\subset N_sA$, where $s$ is some natural number, and, as a consequence, the polynomial growth of the variety $V$.
