作者：Nai; Hong; HU; Shen; You; WANG量子代数匹配微分算子包络代数根向量对称性平方
摘要：In the paper, we further realize the higher rank quantized universal enveloping algebra Uq(sln+1) as certain quantum differential operators in the quantum Weyl algebra Wq(2n) defined over the quantum divided power algebra Aq(n) of rank n. We give the quantum differential operators realization for both the simple root vectors and the non-simple root vectors of Uq(sln+1). The nice behavior of the quantum root vectors formulas under the action of the Lusztig symmetries once again indicates that our realization model is naturally matched.
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