Metric Lie n-algebras and double extensions

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dc.creatorFigueroa-O'Farrill, José
dc.date2008-06-21
dc.date.accessioned2026-07-07T09:46:04Z
dc.date.available2026-07-07T09:46:04Z
dc.descriptionWe prove a structure theorem for Lie n-algebras possessing an invariant inner product. We define the notion of a double extension of a metric Lie n-algebra by another Lie n-algebra and prove that all metric Lie n-algebras are obtained from the simple and one-dimensional ones by iterating the operations of orthogonal direct sum and double extension.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0806.3534
dc.identifierhttp://arxiv.org/abs/0806.3534
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163404
dc.subjectRepresentation Theory
dc.subjectHigh Energy Physics - Theory
dc.subjectRings and Algebras
dc.titleMetric Lie n-algebras and double extensions
dc.typetext

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