Representations admitting two pairs of supplementary invariant spaces

dc.creatorBergery, Lionel Bérard
dc.creatorKrantz, Thomas
dc.date2007-04-20
dc.date2008-02-21
dc.date.accessioned2026-07-07T09:21:50Z
dc.date.available2026-07-07T09:21:50Z
dc.descriptionWe examine the lattice generated by two pairs of supplementary vector subspaces of a finite-dimensional vector space by intersection and sum, with the aim of applying the results to the study of representations admitting two pairs of supplementary invariant spaces, or one pair and a reflexive form. We show that such a representation is a direct sum of three canonical sub-representations which we characterize. We then focus on holonomy representations with the same property.
dc.identifierhttps://arxiv.org/abs/0704.2777
dc.identifierhttp://arxiv.org/abs/0704.2777
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155165
dc.subjectRepresentation Theory
dc.titleRepresentations admitting two pairs of supplementary invariant spaces
dc.typetext

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