A topological conjugacy of invariant flows on some class of Lie groups
Santana, Alexandre J. ; Stelmastchuk, Simão N.
Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019), / Harvested from Portal de Periódicos da UEM
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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.

Publié le : 2019-01-01
DOI : https://doi.org/10.5269/bspm.v38i3.37216 
@article{37216,
     title = {A topological conjugacy of invariant  flows on some class of Lie groups},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {38},
     year = {2019},
     doi = {10.5269/bspm.v38i3.37216},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/37216}
}

Santana, Alexandre J.; Stelmastchuk, Simão N. A topological conjugacy of invariant  flows on some class of Lie groups. Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019) . doi : 10.5269/bspm.v38i3.37216. http://gdmltest.u-ga.fr/item/37216/