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math.RT2008★ 1 cited
Green formula in Hall algebras and cluster algebras
Jie Xiao, Fan Xu
The objective of the present paper is to give a survey of recent progress on applications of the approaches of Ringel-Hall type algebras to quantum groups and cluster algebras via…
math.RT2007★ 1 cited
On the cluster multiplication theorem for acyclic cluster algebras
Fan Xu
In \cite{CK2005} and \cite{Hubery2005}, the authors proved the cluster multiplication theorems for finite type and affine type. We generalize their results and prove the cluster mu…