Representations of Tame Quivers and Affine Canonical Bases

  title={Representations of Tame Quivers and Affine Canonical Bases},
  author={Zhi Lin and Jie Xiao and Guanglian Zhang},
An integral PBW-basis of type A (1) 1 has been constructed by Zhang [Z] and Chen [C] using the Auslander-Reiten quiver of the Kronecker quiver. We associate a geometric order to elements in this basis following an idea of Lusztig [L1] in the case of finite type. This leads to an algebraic realization of the canonical bases of Uq(ŝl2). For any affine… CONTINUE READING