Integral bases of cluster algebras and representations of tame quivers

Abstract

In \cite{CK2005} and \cite{SZ}, the authors constructed the bases of cluster algebras of finite types and of type $\widetilde{A}_{1,1}$, respectively. In this paper, we will deduce $\mathbb{Z}$-bases for cluster algebras of affine types.

28 pages, an improvement of arXiv:0811.3676