New simple Lie superalgebras in characteristic 3

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dc.creatorElduque, Alberto
dc.date2004-12-20
dc.date.accessioned2026-07-07T05:15:28Z
dc.date.available2026-07-07T05:15:28Z
dc.descriptionSymplectic (respectively orthogonal) triple systems provide constructions of Lie algebras (resp. superalgebras). However, in characteristic 3, it is shown that this role can be interchanged and that Lie superalgebras (resp. algebras) can be built out of symplectic triple systems (resp. orthogonal triple systems) with a different construction. As a consequence, new simple finite dimensional Lie superalgebras, as well as new models of some nonclassical simple Lie algebras, are obtained over fields of characteristic 3.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/math/0412395
dc.identifierhttp://arxiv.org/abs/math/0412395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73641
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject17B50 (Primary); 17B60, 17B25 (Secondary)
dc.titleNew simple Lie superalgebras in characteristic 3
dc.typetext

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