Q-systems as cluster algebras

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dc.creatorKedem, Rinat
dc.date2007-12-17
dc.date2008-03-02
dc.date.accessioned2026-07-07T11:44:46Z
dc.date.available2026-07-07T11:44:46Z
dc.descriptionQ-systems first appeared in the analysis of the Bethe equations for the XXX-model and generalized Heisenberg spin chains. Such systems are known to exist for any simple Lie algebra and many other Kac-Moody algebras. We formulate the Q-system associated with any simple, simply-laced Lie algebras g in the language of cluster algebras, and discuss the relation of the polynomiality property of the solutions of the $Q$-system in the initial variables, which follows from the representation-theoretical interpretation, to the Laurent phenomenon in cluster algebras.
dc.description16 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0712.2695
dc.identifierhttp://arxiv.org/abs/0712.2695
dc.identifierJ.Phys.A41:194011,2008
dc.identifierdoi:10.1088/1751-8113/41/19/194011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201669
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleQ-systems as cluster algebras
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