Minimal faithful representations of reductive Lie algebras

Simple item page
dc.creatorBurde, Dietrich
dc.creatorMoens, Wolfgang
dc.date2007-03-22
dc.date.accessioned2026-07-07T07:53:15Z
dc.date.available2026-07-07T07:53:15Z
dc.descriptionWe prove an explicit formula for the invariant $μ(\Lg)$ for finite-dimensional semisimple, and reductive Lie algebras $\Lg$ over $\C$. Here $μ(\Lg)$ is the minimal dimension of a faithful linear representation of $\Lg$. The result can be used to study Dynkin's classification of maximal reductive subalgebras of semisimple Lie algebras.
dc.identifierhttps://arxiv.org/abs/math/0703657
dc.identifierhttp://arxiv.org/abs/math/0703657
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126184
dc.subjectRepresentation Theory
dc.subject17B20;17B10
dc.titleMinimal faithful representations of reductive Lie algebras
dc.typetext

Files

Collections

arXiv