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Published in 2020 at "Compositio Mathematica"
DOI: 10.1112/s0010437x20007113
Abstract: We prove that any skew-symmetrizable cluster algebra is unistructural, which is a conjecture by Assem, Schiffler and Shramchenko. As a corollary, we obtain that a cluster automorphism of a cluster algebra ${\mathcal{A}}({\mathcal{S}})$ is just an…
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Keywords:
cluster;
cluster algebras;
unistructurality cluster;