Canonical bases of the modified quantized enveloping algebras of type   $A_{2}$
  The modified quantized enveloping algebra $\dot{\mathbf{U}}$ has a remarkable canonical basis, which was introduced by Lusztig. In this paper, we give an explicit description of all elements of the canonical basis of $\dot{\mathbf{U}}$ for type $A_{2}$. 
Weideng Cui
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