Cluster algebras as Hall algebras of quiver representations

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dc.creatorCaldero, Philippe
dc.creatorChapoton, Frederic
dc.date2004-10-07
dc.date2005-04-26
dc.date.accessioned2026-07-07T05:13:01Z
dc.date.available2026-07-07T05:13:01Z
dc.descriptionRecent articles have shown the connection between representation theory of quivers and the theory of cluster algebras. In this article, we prove that some cluster algebras of type ADE can be recovered from the data of the corresponding quiver representation category. This also provides some explicit formulas for cluster variables.
dc.description17 pages ; 2 figures ; the title has changed ! some other minor modifications
dc.identifierhttps://arxiv.org/abs/math/0410187
dc.identifierhttp://arxiv.org/abs/math/0410187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72793
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subjectMSC 2000 : 16G20 16G70 18E30
dc.titleCluster algebras as Hall algebras of quiver representations
dc.typetext

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