The universal cover of an algebra without double bypass

dc.creatorMeur, Patrick Le
dc.date2005-07-25
dc.date2006-11-17
dc.date.accessioned2026-07-07T10:05:51Z
dc.date.available2026-07-07T10:05:51Z
dc.descriptionLet A be a basic finite dimensional and connected algebra over an algebraically closed field k with zero characteristic. If the ordinary quiver of A has no double bypasses, we show that A admits a Galois covering which satisfies a universal property with respect to the Galois coverings of A. This universal property is similar to the one of the universal cover of a connected topological space.
dc.descriptionThis text (21 pages) gives detailed proofs of the results announced in a previous note of the author (The fundamental group of a triangular algebra without double bypasses) and extends the study of this previous note to the Galois coverings of an algebra
dc.identifierhttps://arxiv.org/abs/math/0507513
dc.identifierhttp://arxiv.org/abs/math/0507513
dc.identifierJournal of Algebra 312, 1 (2007) 330--353
dc.identifierdoi:10.1016/j.jalgebra.2006.10.035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170134
dc.subjectRepresentation Theory
dc.subject16G10
dc.titleThe universal cover of an algebra without double bypass
dc.typetext

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