Abstract
In Caldero and Keller (Invent Math 172:169–211, 2008) and Sherman and Zelevinsky (Mosc Math J 4(4):947–974, 2004), 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 ℤ-bases for cluster algebras of affine types.
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The research was partially supported by NSF of China (No. 10631010) and the Ph.D. Programs Foundation of Ministry of Education of China (No. 200800030058).
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Ding, M., Xiao, J. & Xu, F. Integral Bases of Cluster Algebras and Representations of Tame Quivers. Algebr Represent Theor 16, 491–525 (2013). https://doi.org/10.1007/s10468-011-9317-z
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DOI: https://doi.org/10.1007/s10468-011-9317-z