Finite-dimensional Lie algebras of order F

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dc.creatorde Traubenberg, M. Rausch
dc.creatorSlupinski, M. J.
dc.date2002-05-13
dc.date.accessioned2026-07-07T11:48:01Z
dc.date.available2026-07-07T11:48:01Z
dc.description$F-$Lie algebras are natural generalisations of Lie algebras (F=1) and Lie superalgebras (F=2). When $F>2$ not many finite-dimensional examples are known. In this paper we construct finite-dimensional $F-$Lie algebras $F>2$ by an inductive process starting from Lie algebras and Lie superalgebras. Matrix realisations of $F-$Lie algebras constructed in this way from $\mathfrak{su}(n), \mathfrak{sp}(2n)$ $\mathfrak{so}(n)$ and $\mathfrak{sl}(n|m)$, $\mathfrak{osp}(2|m)$ are given. We obtain non-trivial extensions of the Poincaré algebra by Inönü-Wigner contraction of certain $F-$Lie algebras with $F>2$.
dc.description20 pages, LateX
dc.identifierhttps://arxiv.org/abs/hep-th/0205113
dc.identifierhttp://arxiv.org/abs/hep-th/0205113
dc.identifierJ.Math.Phys.43:5145-5160,2002
dc.identifierdoi:10.1063/1.1503148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202776
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.titleFinite-dimensional Lie algebras of order F
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