The Magic Square and Symmetric Compositions II

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dc.creatorElduque, Alberto
dc.date2005-07-14
dc.date.accessioned2026-07-07T05:21:41Z
dc.date.available2026-07-07T05:21:41Z
dc.descriptionThe construction of Freudenthal's Magic Square, which contains the exceptional simple Lie algebras, in terms of symmetric composition algebras is further developed here. The para-Hurwitz algebras, which form a subclass of the symmetric composition algebras, will be defined, in the split case, in terms of the natural two dimensional module for the simple Lie algebra sl(2). As a consequence, it will be shown how all the Lie algebras in Freudenthal's Magic Square can be constructed, in a unified way, using copies of sl(2) and of its natural module.
dc.description24 pages. To appear in Rev. Mat. Iberoamericana
dc.identifierhttps://arxiv.org/abs/math/0507282
dc.identifierhttp://arxiv.org/abs/math/0507282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75778
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.titleThe Magic Square and Symmetric Compositions II
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