Cluster categories and duplicated algebras

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dc.creatorAssem, Ibrahim
dc.creatorBrüstle, Thomas
dc.creatorSchiffler, Ralf
dc.creatorTodorov, Gordana
dc.date2005-09-21
dc.date.accessioned2026-07-07T06:18:34Z
dc.date.available2026-07-07T06:18:34Z
dc.descriptionLet $A$ be a hereditary algebra. We construct a fundamental domain for the cluster category of $A$ inside the category of modules over the duplicated algebra $\bar{A}$ of $A$. We then prove that there exists a bijection between the tilting objects in the cluster category and the tilting $\bar{A}$-modules all of whose non projective-injective indecomposable summands lie in the left part of the module category of $\bar{A}$.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0509501
dc.identifierhttp://arxiv.org/abs/math/0509501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94779
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.titleCluster categories and duplicated algebras
dc.typetext

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