Linear recurrence relations for cluster variables of affine quivers

Details Linear recurrence relations for cluster variables of affine quivers Linear recurrence relations for cluster variables of affine quivers

2010-04-05

arxiv.org/abs/1004.0613v2

Mathematics

Representation Theory

20 pages, references updated and completed, acknowledgment added

Scientific paper

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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