Lie algebras with S4-action and structurable algebras

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dc.creatorElduque, Alberto
dc.creatorOkubo, Susumu
dc.date2005-08-29
dc.date.accessioned2026-07-07T05:22:45Z
dc.date.available2026-07-07T05:22:45Z
dc.descriptionThe normal symmetric triality algebras (STA's) and the normal Lie related triple algebras (LRTA's) have been recently introduced by the second author, in connection with the principle of triality. It turns out that the unital normal LRTA's are precisely the structurable algebras extensively studied by Allison. It will be shown that the normal STA's (respectively LRTA's) are the algebras that coordinatize those Lie algebras whose automorphism group contains a copy of the alternating (resp. symmetric) group of degree 4.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0508558
dc.identifierhttp://arxiv.org/abs/math/0508558
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76181
dc.subjectRings and Algebras
dc.subject17B60
dc.titleLie algebras with S4-action and structurable algebras
dc.typetext

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