Linear recurrence relations for cluster variables of affine quivers
classification
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keywords
affineclusterlinearrecurrencerelationsvariablesassem-reutenauer-smithassociated
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We prove that the frieze sequences of cluster variables associated with the vertices of an affine quiver satisfy linear recurrence relations. In particular, we obtain a proof of a recent conjecture by Assem-Reutenauer-Smith.
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