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| HAL: hal-00514946, version 2 |
| arXiv: 1009.0742 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2010-09-03) | v2 (2011-12-13) |
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| Cluster Automorphisms |
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| Ibrahim Assem 1Ralf Schiffler 2 |
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| (2010-09-03) |
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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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| 1: | Département de Mathématiques, Université de Sherbrooke |
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Université de Sherbrooke |
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| 2: | University of Connecticut |
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University of Connecticut |
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| Subject | : | Mathematics/Representation Theory Mathematics/Rings and Algebras |
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| Attached file list to this document: | ||||||||||
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| hal-00514946, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00514946 | |
| oai:hal.archives-ouvertes.fr:hal-00514946 | |
| From: Ralf Schiffler | |
| Submitted on: Monday, 12 December 2011 20:50:30 | |
| Updated on: Tuesday, 13 December 2011 11:43:10 | |
