17 citations · 154 across the 69 of their papers we have counts for
Showing 2009 · math.RTShow all
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math.RT2009★ 2 cited
The double Ringel-Hall algebra on a hereditary abelian finitary length category
Rujing Dou, Qunhua Liu, Jie Xiao
In this paper, we study the category of semi-stable coherent sheaves of a fixed slope over a weighted projective curve. This category has nice properties: i…
math.RT2009
The elements in crystal bases corresponding to exceptional modules
Yong Jiang, Jie Sheng, Jie Xiao
According to the Ringel-Green Theorem([G],[R1]), the generic composition algebra of the Hall algebra provides a realization of the positive part of the quantum group. Furthermore,…
math.RT2009★ 9 cited
Integral bases of cluster algebras and representations of tame quivers
Ming Ding, Jie Xiao, Fan Xu
In \cite{CK2005} and \cite{SZ}, the authors constructed the bases of cluster algebras of finite types and of type , respectively. In this paper, we will deduce…