1 citations · 2 across the 3 of their papers we have counts for
3 papers
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…
math.QA2007
Green's formula with $\bbc^{*}$-action and Caldero-Keller's formula for cluster algebras
Jie Xiao, Fan Xu
It is known that Green's formula over finite fields gives rise to the comultiplications of Ringel-Hall algebras and quantum groups (see\cite{Green}, also see \cite{Lusztig}). In th…