Lie algebras with S3 or S4-action, and generalized Malcev algebras

dc.creatorElduque, Alberto
dc.creatorOkubo, Susumu
dc.date2008-01-16
dc.date.accessioned2026-07-07T08:54:50Z
dc.date.available2026-07-07T08:54:50Z
dc.descriptionLie algebras endowed with an action by automorphisms of any of the symmetric groups S3 or S4 are considered, and their decomposition into a direct sum of irreducible modules for the given action is studied. In case of S3-symmetry, the Lie algebras are coordinatized by some nonassociative systems, which are termed generalized Malcev algebras, as they extend the classical Malcev algebras. These systems are endowed with a binary and a ternary products, and include both the Malcev algebras and the Jordan triple systems.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0801.2481
dc.identifierhttp://arxiv.org/abs/0801.2481
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146079
dc.subjectRings and Algebras
dc.subject17B60 (Primary), 17D10 (Secondary)
dc.titleLie algebras with S3 or S4-action, and generalized Malcev algebras
dc.typetext

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