Fonctorial Construction of Frobenius Categories

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dc.creatorBeck, Vincent
dc.date2009-03-16
dc.date.accessioned2026-07-07T12:53:06Z
dc.date.available2026-07-07T12:53:06Z
dc.descriptionLet $\Ascr,\Bscr$ be exact categories with $\Ascr$ karoubian and $M$ be an exact functor. Under suitable adjonction hypotheses for $M$, we are able to show that the direct factors of the objects of $\Ascr$ of the form $MY$ with $Y \in \Bscr$ make up a Frobenius category which allow us to define an $M$-stable category for $\Ascr$ only by quotienting. In addition, we propose a construction of an $M$-stable category for $\Ascr,\Bscr$ triangulated categories and $M$ a triangulated functor. We illustrate this notion with a theorem of Keller and Vossieck which links the two notions of $M$-stable category.
dc.identifierhttps://arxiv.org/abs/0903.2868
dc.identifierhttp://arxiv.org/abs/0903.2868
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223507
dc.subjectCategory Theory
dc.subjectRepresentation Theory
dc.subject18E10; 18E30
dc.titleFonctorial Construction of Frobenius Categories
dc.typetext

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