From triangulated categories to cluster algebras II

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dc.creatorCaldero, Philippe
dc.creatorKeller, Bernhard
dc.date2005-10-12
dc.date2006-04-12
dc.date.accessioned2026-07-07T06:47:25Z
dc.date.available2026-07-07T06:47:25Z
dc.descriptionIn the acyclic case, we establish a one-to-one correspondence between the tilting objects of the cluster category and the clusters of the associated cluster algebra. This correspondence enables us to solve conjectures on cluster algebras. We prove a multiplicativity theorem, a denominator theorem, and some conjectures on properties of the mutation graph. As in the previous article, the proofs rely on the Calabi-Yau property of the cluster category.
dc.description23 pages. The proofs rely on a weaker version of positivity
dc.identifierhttps://arxiv.org/abs/math/0510251
dc.identifierhttp://arxiv.org/abs/math/0510251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103644
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16G20; 18E30
dc.titleFrom triangulated categories to cluster algebras II
dc.typetext

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