Cluster Automorphisms
Representation Theory
2014-02-26 v2 Rings and Algebras
Abstract
In this article, we introduce the notion of cluster automorphism of a given cluster algebra as a -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.
Cite
@article{arxiv.1009.0742,
title = {Cluster Automorphisms},
author = {Ibrahim Assem and Ralf Schiffler and Vasilisa Shramchenko},
journal= {arXiv preprint arXiv:1009.0742},
year = {2014}
}
Comments
35 pages, v2 final version, to appear in Proc. London Math. Soc