Finite-dimensional Lie subalgebras of algebras with continuous inversion

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dc.creatorBeltita, Daniel
dc.creatorNeeb, Karl-Hermann
dc.date2006-03-17
dc.date2008-02-22
dc.date.accessioned2026-07-07T09:22:35Z
dc.date.available2026-07-07T09:22:35Z
dc.descriptionWe investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion commute modulo the Jacobson radical.
dc.description9 pages; to appear in the journal Studia Mathematica
dc.identifierhttps://arxiv.org/abs/math/0603420
dc.identifierhttp://arxiv.org/abs/math/0603420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155424
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject22E15; 22E65; 46H30; 17B30
dc.titleFinite-dimensional Lie subalgebras of algebras with continuous inversion
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