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
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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 $V$.
@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},
publisher = {mathdoc},
volume = {6},
number = {2},
year = {2000},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a16/ %G ru %F FPM_2000_6_2_a16
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/