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math.RT2010
Complex Lie algebras corresponding to weighted projective lines
Rujing Dou, Jie Sheng, Jie Xiao
The aim of this paper is to give an alternative proof of Kac's theorem for weighted projective lines (\cite{W}) over the complex field. The geometric realization of complex Lie alg…
math.RT2010★ 6 cited
Hall algebra approach to Drinfeld's presentation of quantum loop algebras
Rujing Dou, Yong Jiang, Jie Xiao
The quantum loop algebra was defined as a generalization of the Drinfeld's new realization of the quantum affine algebra to the loop algebra of any…
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…