Cluster algebras as Hall algebras of quiver representations
Representation Theory
2007-05-23 v2 Rings and Algebras
Abstract
Recent articles have shown the connection between representation theory of quivers and the theory of cluster algebras. In this article, we prove that some cluster algebras of type ADE can be recovered from the data of the corresponding quiver representation category. This also provides some explicit formulas for cluster variables.
Cite
@article{arxiv.math/0410187,
title = {Cluster algebras as Hall algebras of quiver representations},
author = {Philippe Caldero and Frederic Chapoton},
journal= {arXiv preprint arXiv:math/0410187},
year = {2007}
}
Comments
17 pages ; 2 figures ; the title has changed ! some other minor modifications