Quiver representations respecting a quiver automorphism: a generalisation of a theorem of Kac

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dc.creatorHubery, Andrew
dc.date2002-03-19
dc.date2002-08-20
dc.date.accessioned2026-07-07T04:47:10Z
dc.date.available2026-07-07T04:47:10Z
dc.descriptionWe consider quiver representations respecting a quiver automorphism and show that the dimension vectors of the indecomposables are precisely the positive roots of an associated symmetrisable Kac-Moody Lie algebra. Moreover, every such Lie algebra arises in this way. We also discuss the relationship with species of valued quivers over finite fields.
dc.descriptioncorrected typos; more transparent arguments in sections 4 and 6
dc.identifierhttps://arxiv.org/abs/math/0203195
dc.identifierhttp://arxiv.org/abs/math/0203195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63604
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16G20;17B67;16S35
dc.titleQuiver representations respecting a quiver automorphism: a generalisation of a theorem of Kac
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