Generic representations of orthogonal groups: projective functors in the category Fquad

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dc.creatorVespa, Christine
dc.date2007-04-04
dc.date.accessioned2026-07-07T07:54:29Z
dc.date.available2026-07-07T07:54:29Z
dc.descriptionIn this paper, we continue the study of the category of functors Fquad, associated to F_2-vector spaces equipped with a nondegenerate quadratic form, initiated in two previous papers of the author. We define a filtration of the standard projective objects in Fquad; this refines to give a decomposition into indecomposable factors of the two first standard projective objects in Fquad. As an application of these two decompositions, we give a complete description of the polynomial functors of the category Fquad.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/0704.0502
dc.identifierhttp://arxiv.org/abs/0704.0502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126629
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject18A25; 16D90; 20C20
dc.titleGeneric representations of orthogonal groups: projective functors in the category Fquad
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