The functor category Fquad

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dc.creatorVespa, Christine
dc.date2006-06-20
dc.date.accessioned2026-07-07T07:17:28Z
dc.date.available2026-07-07T07:17:28Z
dc.descriptionIn this paper, we define the functor category Fquad associated to vector spaces over the field with two elements, F\_2, equipped with a quadratic form. We show the existence of a fully-faithful, exact functor ι: \F \to Fquad, which preserves simple objects, where \F is the category of functors from the category of finite dimensional F\_2-vector spaces to the category of all F\_2-vector spaces. We define the subcategory Fiso of Fquad, which is equivalent to the product of the categories of modules over the orthogonal groups; the inclusion is a fully-faithful functor κ: Fiso \to Fquad which preserves simple objects.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0606484
dc.identifierhttp://arxiv.org/abs/math/0606484
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113954
dc.subjectAlgebraic Topology
dc.subjectRepresentation Theory
dc.subject18A25, 16D90, 20C20
dc.titleThe functor category Fquad
dc.typetext

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