Quiver representations of maximal rank type and an application to representations of a quiver with three vertices

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dc.creatorWiedemann, Marcel
dc.date2008-02-20
dc.date.accessioned2026-07-07T09:49:46Z
dc.date.available2026-07-07T09:49:46Z
dc.descriptionWe introduce the notion of ''maximal rank type'' for representations of quivers, which requires certain collections of maps involved in the representation to be of maximal rank. We show that real root representations of quivers are of maximal rank type. By using the maximal rank type property and universal extension functors we construct all real root representations of a particular wild quiver with three vertices. From this construction it follows that real root representations of this quiver are tree modules. Moreover, formulae given by Ringel can be applied to compute the dimension of the endomorphism ring of a given real root representation.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0802.2803
dc.identifierhttp://arxiv.org/abs/0802.2803
dc.identifierBull. London Math. Soc. 40 (2008) 479-492
dc.identifierdoi:10.1112/blms/bdn031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164710
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16G20
dc.titleQuiver representations of maximal rank type and an application to representations of a quiver with three vertices
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