Laurent expansions in cluster algebras via quiver representations

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dc.creatorCaldero, Philippe
dc.creatorZelevinsky, Andrei
dc.date2006-04-04
dc.date2006-05-11
dc.date.accessioned2026-07-07T07:10:27Z
dc.date.available2026-07-07T07:10:27Z
dc.descriptionWe study Laurent expansions of cluster variables in a cluster algebra of rank 2 associated to a generalized Kronecker quiver. In the case of the ordinary Kronecker quiver, we obtain explicit expressions for Laurent expansions of the elements of the canonical basis for the corresponding cluster algebra.
dc.description19 pages; v2: added Remark 5.7; v3: minor editorial changes, final version to appear in Moscow Math. Journal; v4: more minor editorial changes
dc.identifierhttps://arxiv.org/abs/math/0604054
dc.identifierhttp://arxiv.org/abs/math/0604054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111430
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleLaurent expansions in cluster algebras via quiver representations
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