Linear recurrence relations for cluster variables of affine quivers
Representation Theory
2010-06-17 v2 Combinatorics
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.
Cite
@article{arxiv.1004.0613,
title = {Linear recurrence relations for cluster variables of affine quivers},
author = {Bernhard Keller and Sarah Scherotzke},
journal= {arXiv preprint arXiv:1004.0613},
year = {2010}
}
Comments
20 pages, references updated and completed, acknowledgment added