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On topological conjugacy of left invariant flows on semisimple and affine lie groups

dc.creatorKawan, Christoph
dc.creatorRocio, Osvaldo Germano do
dc.creatorSantana, Alexandre J.
dc.date2011-12-10
dc.date.accessioned2019-11-14T11:58:51Z
dc.date.available2019-11-14T11:58:51Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/1174
dc.identifier10.4067/S0716-09172011000200004
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/112965
dc.descriptionIn this paper, we study the flows of nonzero left invariant vector fields on Lie groups with respect to topological conjugacy. Using the fundamental domain method, we are able to show that on a simply connected nilpotent Lie group any such flows are topologically conjugate. Combining this result with the Iwasawa decomposition, we find that on a noncompact semisimple Lie group the flows of two nilpotent or abelian fields are topologically conjugate. Finally, for affine groups G = HV, V ∼R n, we show that the conjugacy class of a left invariant vector field does not depend on its Euclidean component.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/1174/1104
dc.rightsDerechos de autor 2011 Proyecciones. Journal of Mathematicses-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 30 No 2 (2011); 175-188en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 30 Núm. 2 (2011); 175-188es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectTopological conjugacyes-ES
dc.subjectFlowses-ES
dc.subjectSemi-simple Lie groupses-ES
dc.subjectNilpotent Lie groupes-ES
dc.subjectAffine groups.es-ES
dc.titleOn topological conjugacy of left invariant flows on semisimple and affine lie groupses-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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