作者：Jie; XIAO; Ming; Hui; ZHAO对称性bgp修改函子反射量子群代数和代数形式
摘要：Let U be a quantized enveloping algebra and its modified form.Lusztig gives some symmetries on U and.In view of the realization of U by the reduced Drinfeld double of the Ringel-Hall algebra,one can apply the BGP-reflection functors to the double Ringel-Hall algebra to obtain Lusztig’s symmetries on U and their important properties,for instance,the braid relations.In this paper,we define a modified form ■ of the Ringel-Hall algebra and realize the Lusztig’s symmetries on by applying the BGP-reflection functors to ■.
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