Geodesic
The Lie commutators on the space of the smooth functions from $R^1$ to $R^2$
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 7 (2007) no. 4, pp. 74-88

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we consider the classification problem of the local algebras Lie on the space $C^\infty(R^n,R^m)$. For $n=1$, $m=2$ and the symmetry analytical Lie commutators of the first order we obtain full classification under the module of the action of the group $GL_2(F)$, where $F$ is the space analytical functions from one variable. 
@article{VNGU_2007_7_4_a4,
     author = {M. V. Neshchadim},
     title = {The {Lie} commutators on the space of the smooth functions from $R^1$ to $R^2$},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {74--88},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2007_7_4_a4/}
}
TY  - JOUR
AU  - M. V. Neshchadim
TI  - The Lie commutators on the space of the smooth functions from $R^1$ to $R^2$
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2007
SP  - 74
EP  - 88
VL  - 7
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VNGU_2007_7_4_a4/
LA  - ru
ID  - VNGU_2007_7_4_a4
ER  - 
%0 Journal Article
%A M. V. Neshchadim
%T The Lie commutators on the space of the smooth functions from $R^1$ to $R^2$
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2007
%P 74-88
%V 7
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VNGU_2007_7_4_a4/
%G ru
%F VNGU_2007_7_4_a4
M. V. Neshchadim. The Lie commutators on the space of the smooth functions from $R^1$ to $R^2$. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 7 (2007) no. 4, pp. 74-88. http://geodesic.mathdoc.fr/item/VNGU_2007_7_4_a4/