Integral bases of cluster algebras and representations of tame quivers

Mathematics – Representation Theory

Scientific paper

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28 pages, an improvement of arXiv:0811.3676

Scientific paper

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.

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