| Type de publication : |
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Preprint, Working Paper, Document sans référence, etc. |
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| Domaine : |
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| Titre : |
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Cluster Automorphisms |
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| Auteur(s) : |
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Ibrahim Assem ( ) 1, Ralf Schiffler () 2, Vasilisa Shramchenko () 1 |
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| Laboratoire : |
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| Résumé : |
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In this article, we introduce the notion of cluster automorphism of a given cluster algebra as a $\ZZ$-automorphism of the cluster algebra that sends a cluster to another and commutes with mutations. We study the group of cluster automorphisms in detail for acyclic cluster algebras and cluster algebras from surfaces, and we compute this group explicitly for the Dynkin types and the Euclidean types. |
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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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03/09/2010 |
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| Classification : |
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13F60 (primary), 16S70, 16W20 (secondary) |
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| Commentaire : |
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35 pages, v2 final version, to appear in Proc. London Math. Soc. |
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