Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 15-20
Citer cet article
A. A. Kirillov; M. L. Kontsevich. The growth of the Lie algebra generated by two generic vector fields on the line. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 15-20. http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a3/
@article{VMUMM_1983_4_a3,
author = {A. A. Kirillov and M. L. Kontsevich},
title = {The growth of the {Lie} algebra generated by two generic vector fields on the line},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {15--20},
year = {1983},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a3/}
}
TY - JOUR
AU - A. A. Kirillov
AU - M. L. Kontsevich
TI - The growth of the Lie algebra generated by two generic vector fields on the line
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 15
EP - 20
IS - 4
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a3/
LA - ru
ID - VMUMM_1983_4_a3
ER -
%0 Journal Article
%A A. A. Kirillov
%A M. L. Kontsevich
%T The growth of the Lie algebra generated by two generic vector fields on the line
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 15-20
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a3/
%G ru
%F VMUMM_1983_4_a3
The paper deals with a Lie algebra generated by two generic vector fields on a straight line. It is proved that this algebra has an intermediate growth (between a polynomial and an exponential growth). A hypothetical explicit formula is given for dimensions of homogeneous components.
