A geometric realization of sl(6,C)

dc.creatorGaiffi, Giovanni
dc.creatorGrassi, Michele
dc.date2007-04-01
dc.date.accessioned2026-07-07T07:54:20Z
dc.date.available2026-07-07T07:54:20Z
dc.descriptionGiven an orientable weakly self-dual manifold X of rank two, we build a geometric realization of the Lie algebra sl(6,C) as a naturally defined algebra L of endomorphisms of the space of differential forms of X. We provide an explicit description of Serre generators in terms of natural generators of L. This construction gives a bundle on X which is related to the search for a natural Gauge theory on X. We consider this paper as a first step in the study of a rich and interesting algebraic structure.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/0704.0104
dc.identifierhttp://arxiv.org/abs/0704.0104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126570
dc.subjectDifferential Geometry
dc.subjectRepresentation Theory
dc.subject53A45; 15A66; 20C15
dc.titleA geometric realization of sl(6,C)
dc.typetext

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