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math.RT2010★ 4 cited
On quantum cluster algebras of finite type
Ming Ding
We extend the definition of a quantum analogue of the Caldero-Chapoton map defined in \cite{rupel}. When is a quiver of finite type, we prove that the algebra $\mathcal{AH}_{|k…
math.RT2008★ 1 cited
A -basis for the cluster algebra associated to an affine quiver
Ming Ding, Jie Xiao, Fan Xu
The canonical bases of cluster algebras of finite types and rank 2 are given explicitly in \cite{CK2005} and \cite{SZ} respectively. In this paper, we will deduce -base…