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arXiv · 1004.0613

Linear recurrence relations for cluster variables of affine quivers

Bernhard Keller·Sarah Scherotzke
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Abstract

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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Bernhard Keller, Sarah Scherotzke. 2010-04-05. Linear recurrence relations for cluster variables of affine quivers. https://arxiv.org/abs/1004.0613

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