Algebras of Complete Hörmander Vector Fields, and Lie-Group Construction

The aim of this note is to characterize the Lie algebras g of the analytic vector fields in RN which coincide with the Lie algebras of the (analytic) Lie groups defined on RN (with its usual differentiable structure). We show that such a characterization amounts to asking that: (i) g is N-dimensiona...

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Autor principal:	Andrea Bonfiglioli
Format:	Artigo
Idioma:	Inglês
Publicat:	University of Bologna 2014-12-01
Col·lecció:	Bruno Pini Mathematical Analysis Seminar
Matèries:	Hörmander vector fields Campbell-Baker-Hausdorff-Dynkin Theorem Third Theorem of Lie Carnot-Carathéodory metric Completeness of vector fields
Accés en línia:	http://mathematicalanalysis.unibo.it/article/view/4707
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