A note on lifting of Carnot groups
Bonfiglioli, Andrea ; Uguzzoni, Francesco
Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, p. 1013-1035 / Harvested from Project Euclid
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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.
Publié le : 2005-03-14
Classification:  lifting of vector fields,  Carnot groups,  fundamental solutions,  free groups,  35H20,  43A80,  22E60 
@article{1136999139,
     author = {Bonfiglioli, Andrea and Uguzzoni, Francesco},
     title = {A note on lifting of Carnot groups},
     journal = {Rev. Mat. Iberoamericana},
     volume = {21},
     number = {2},
     year = {2005},
     pages = { 1013-1035},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1136999139}
}

Bonfiglioli, Andrea; Uguzzoni, Francesco. A note on lifting of Carnot groups. Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, pp.  1013-1035. http://gdmltest.u-ga.fr/item/1136999139/