Sequences of reflection functors and the preprojective component of a valued quiver

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dc.creatorKleiner, Mark
dc.creatorTyler, Helene R.
dc.date2006-08-07
dc.date.accessioned2026-07-07T07:21:29Z
dc.date.available2026-07-07T07:21:29Z
dc.descriptionThis paper concerns preprojective representations of a finite connected valued quiver without oriented cycles. For each such representation, an explicit formula in terms of the geometry of the quiver gives a unique, up to a certain equivalence, shortest (+)-admissible sequence such that the corresponding composition of reflection functors annihilates the representation. The set of equivalence classes of the above sequences is a partially ordered set that contains a great deal of information about the preprojective component of the Auslander-Reiten quiver. The results apply to the study of reduced words in the Weyl group associated to an indecomposable symmetrizable generalized Cartan matrix.
dc.identifierhttps://arxiv.org/abs/math/0608175
dc.identifierhttp://arxiv.org/abs/math/0608175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115316
dc.subjectRepresentation Theory
dc.subject16G20; 16G70
dc.titleSequences of reflection functors and the preprojective component of a valued quiver
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