A note on lifting of Carnot groups.

Bonfiglioli, Andrea, and Uguzzoni, Francesco. "A note on lifting of Carnot groups.." Revista Matemática Iberoamericana 21.3 (2005): 1013-1035. <http://eudml.org/doc/41958>.

@article{Bonfiglioli2005,
abstract = {We prove that every homogeneous Carnot group can be lifted to a free homogeneous Carnot group. Though following the ideas of Rothschild and Stein, we give simple and self-contained arguments, providing a constructive proof, as shown in the examples.},
author = {Bonfiglioli, Andrea, Uguzzoni, Francesco},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores elípticos; Grupos de Lie; lifting of vector fields; free groups; explicit formula for the fundamental solutions},
language = {eng},
number = {3},
pages = {1013-1035},
title = {A note on lifting of Carnot groups.},
url = {http://eudml.org/doc/41958},
volume = {21},
year = {2005},
}

TY - JOUR
AU - Bonfiglioli, Andrea
AU - Uguzzoni, Francesco
TI - A note on lifting of Carnot groups.
JO - Revista Matemática Iberoamericana
PY - 2005
VL - 21
IS - 3
SP - 1013
EP - 1035
AB - We prove that every homogeneous Carnot group can be lifted to a free homogeneous Carnot group. Though following the ideas of Rothschild and Stein, we give simple and self-contained arguments, providing a constructive proof, as shown in the examples.
LA - eng
KW - Operadores elípticos; Grupos de Lie; lifting of vector fields; free groups; explicit formula for the fundamental solutions
UR - http://eudml.org/doc/41958
ER -