Solvable real rigid Lie algebras are not necessarily completely solvable [Les algèbres de Lie résolubles rigides réelles ne sont pas nécessairement complètement résolubles]

Simple item page
dc.creatorBermudez, J. M. Ancochea
dc.creatorCampoamor-Stursberg, R.
dc.creatorVergnolle, L. Garcia
dc.date2005-10-13
dc.date.accessioned2026-07-07T06:47:27Z
dc.date.available2026-07-07T06:47:27Z
dc.descriptionWe show that a solvable real rigid Lie algebra is not completelt rigid, by constructing an example of minimal dimension where the external torus is not spanned by $ad$-semisimple derivations over $\mathbb{R}$. We analyze the real forms of nilradicals of solvable rigid Lie algebras in dimensions $n\leq 7$ and give the real classification for dimension 8.
dc.description8 pages, text in french
dc.identifierhttps://arxiv.org/abs/math/0510275
dc.identifierhttp://arxiv.org/abs/math/0510275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103655
dc.subjectRepresentation Theory
dc.subject17B30, 17B56
dc.titleSolvable real rigid Lie algebras are not necessarily completely solvable [Les algèbres de Lie résolubles rigides réelles ne sont pas nécessairement complètement résolubles]
dc.typetext

Files

Collections

arXiv