Index and stable linear forms of Lie algebras

dc.creatorTauvel, Patrice
dc.creatorYu, Rupert W. T.
dc.date2003-02-05
dc.date.accessioned2026-07-07T04:54:55Z
dc.date.available2026-07-07T04:54:55Z
dc.descriptionWe characterize, in a purely algebraic manner, certain linear forms, called stable, on a Lie algebra. As an application, we determine the index of a Borel subalgebra of a semi-simple Lie algebra. Finally, we give an example of a parabolic subalgebra of a semi-simple Lie algebra which does not admit any stable linear form.
dc.descriptionThis paper is written in French
dc.identifierhttps://arxiv.org/abs/math/0302048
dc.identifierhttp://arxiv.org/abs/math/0302048
dc.identifierJournal of Algebra 273 (2004) 507-516
dc.identifierdoi:10.1016/S0021-8693(03)00376-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66446
dc.subjectRepresentation Theory
dc.subject17B45; 17B20
dc.titleIndex and stable linear forms of Lie algebras
dc.typetext

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