On the cluster multiplication theorem for acyclic cluster algebras

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dc.creatorXu, Fan
dc.date2007-11-21
dc.date2008-05-12
dc.date.accessioned2026-07-07T09:37:55Z
dc.date.available2026-07-07T09:37:55Z
dc.descriptionIn \cite{CK2005} and \cite{Hubery2005}, the authors proved the cluster multiplication theorems for finite type and affine type. We generalize their results and prove the cluster multiplication theorem for arbitrary type by using the properties of 2--Calabi--Yau (Auslander--Reiten formula) and high order associativity.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0711.3255
dc.identifierhttp://arxiv.org/abs/0711.3255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160625
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16G20; 16G70; 14M99; 18E30
dc.titleOn the cluster multiplication theorem for acyclic cluster algebras
dc.typetext

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