Classification of abelian hereditary directed categories satisfying Serre duality

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dc.creatorvan Roosmalen, Adam-Christiaan
dc.date2006-01-17
dc.date2006-11-09
dc.date.accessioned2026-07-07T06:59:01Z
dc.date.available2026-07-07T06:59:01Z
dc.descriptionIn an ongoing project to classify all hereditary abelian categories, we provide a classification of Ext-finite directed hereditary abelian categories satisfying Serre duality up to derived equivalence. In order to prove the classification, we will study the shapes of the Auslander-Reiten components extensively and use appropriate generalisations of tilting objects and coordinates, namely partial tilting sets and probing of objects by quasi-simples.
dc.description30 pages with 12 figures; incorporated referee's comments
dc.identifierhttps://arxiv.org/abs/math/0601418
dc.identifierhttp://arxiv.org/abs/math/0601418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107595
dc.subjectCategory Theory
dc.subjectRepresentation Theory
dc.subject16G20; 16G70; 18E10, 18E30
dc.titleClassification of abelian hereditary directed categories satisfying Serre duality
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