Ideals in non-associative universal enveloping algebras of Lie triple systems

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dc.creatorMostovoy, J.
dc.creatorPérez-Izquierdo, J. M.
dc.date2005-06-09
dc.date.accessioned2026-07-07T05:20:39Z
dc.date.available2026-07-07T05:20:39Z
dc.descriptionThe notion of a non-associative universal enveloping algebra for a Lie triple system arises when Lie triple systems are considered as Bol algebras (more generally, Sabinin algebras). In this paper a new construction for these universal enveloping algebras is given, and their properties are studied. It is shown that universal enveloping algebras of Lie triple systems have surprisingly few ideals. It is conjectured, and the conjecture is verified on several examples, that the only proper ideal of the universal enveloping algebra of a simple Lie triple system is the augmentation ideal.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0506179
dc.identifierhttp://arxiv.org/abs/math/0506179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75451
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject20N05, 17D99
dc.titleIdeals in non-associative universal enveloping algebras of Lie triple systems
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