The aim of this work is to provide explicit calculations that describe any 7-dimensional contact nilpotent Lie algebra as a double extension of a 5-dimensional contact nilpotent Lie algebra. In particular, we describe an arbitrary (2n+1)-dimensional contact filiform Lie algebra as a double extension of a (2n-1)-dimensional contact nilpotent Lie algebra m of nilindex n by a pair (D, θ).
María A. Alvarez
1
;
María C. Rodríguez-Vallarte
2
;
Gil Salgado
2
1
Dep. de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, Chile
2
Fac. de Ciencias, UASLP, San Luis Potosí, Mexico
María A. Alvarez; María C. Rodríguez-Vallarte; Gil Salgado. Low Dimensional Contact Lie Algebras. Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 811-838. http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a9/
@article{JOLT_2019_29_3_a9,
author = {Mar{\'\i}a A. Alvarez and Mar{\'\i}a C. Rodr{\'\i}guez-Vallarte and Gil Salgado},
title = {Low {Dimensional} {Contact} {Lie} {Algebras}},
journal = {Journal of Lie Theory},
pages = {811--838},
year = {2019},
volume = {29},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a9/}
}
TY - JOUR
AU - María A. Alvarez
AU - María C. Rodríguez-Vallarte
AU - Gil Salgado
TI - Low Dimensional Contact Lie Algebras
JO - Journal of Lie Theory
PY - 2019
SP - 811
EP - 838
VL - 29
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a9/
ID - JOLT_2019_29_3_a9
ER -
%0 Journal Article
%A María A. Alvarez
%A María C. Rodríguez-Vallarte
%A Gil Salgado
%T Low Dimensional Contact Lie Algebras
%J Journal of Lie Theory
%D 2019
%P 811-838
%V 29
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a9/
%F JOLT_2019_29_3_a9
