Cluster algebras as Hall algebras of quiver representations

Preprint

26 April 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0410187

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.

Keywords

REPRESENTATIONS RECENT
QUIVER REPRESENTATIONS
CLUSTER ALGEBRAS
RECENT ARTICLES
HALL ALGEBRAS
FORMULAS

All Related Versions

Version 1, 2004-10-07, ArXiv
Version 2, 2005-04-26, ArXiv

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