Cluster algebras of type $\mathbb{A}_{n-1}$ through the permutation groups $S_{n}$
DOI:
https://doi.org/10.33044/revuma.3473Abstract
Flips of triangulations appear in the definition of cluster algebras by Fomin and Zelevinsky. In this article we give an interpretation of mutation in the sense of permutation using triangulations of a convex polygon. We thus establish a link between cluster variables and permutation mutations in the case of cluster algebras of type $\mathbb{A}$.
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