A topological conjugacy of invariant  flows on some class of Lie groups

Alexandre J. Santana; Simão N. Stelmastchuk

doi:10.5269/bspm.v38i3.37216

A topological conjugacy of invariant flows on some class of Lie groups

Auteurs-es

Alexandre J. Santana State University of Maringa Department of Mathematics
Simão N. Stelmastchuk Federal University of Parana Department of Mathematics http://orcid.org/0000-0002-4342-1230

DOI :

https://doi.org/10.5269/bspm.v38i3.37216

Mots-clés :

Topological conjugacy, Invariant flows, Lie groups

Résumé

The aim of this paper is to classify invariant flows on Lie group $G$ whose Lie algebra $\mathfrak{g}$ is associative or semisimple. Specifically, we present this classification from the hyperbolicity of the lift flows on $G \times \mathfrak{g}$. Then we apply this construction to some special cases as ${\rm Gl}(2,{\Bbb R})$ and affine Lie group.