Signed quivers, symmetric quivers, and root systems

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dc.creatorShmelkin, D. A.
dc.date2003-09-05
dc.date.accessioned2026-07-07T05:00:53Z
dc.date.available2026-07-07T05:00:53Z
dc.descriptionWe define a special sort of weighted oriented graphs, signed quivers. Each of these yields a symmetric quiver, i.e., a quiver endowed with an involutive anti-automorphism and the inherited signs. We develop a representation theory of symmetric quivers, in particular we describe the indecomposable symmetric representations. Their dimensions constitute root systems corresponding to certain symmetrizable generalized Cartan matrices.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0309091
dc.identifierhttp://arxiv.org/abs/math/0309091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68482
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14L30; 16G20; 17B67; 20G20
dc.titleSigned quivers, symmetric quivers, and root systems
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