Cluster algebras of type $\mathbb{A}_{n-1}$ through the permutation groups $S_{n}$

Authors

  • Kodjo Essonana Magnani Département de Mathématiques, Université de Lomé, BP 1515 Lomé, Togo

DOI:

https://doi.org/10.33044/revuma.3473

Abstract

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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References

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Published

2025-02-28

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