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math.RT2021★ 1 cited
On bases of quantum affine algebras
Jie Xiao, Han Xu, Minghui Zhao
Let be the positive part of the quantum group associated with a generalized Cartan matrix. In the case of finite type, Lusztig constructed the canonical…
math.RT2021★ 3 cited
Tame quivers and affine bases I: a Hall algebra approach to the canonical bases
Jie Xiao, Han Xu, Minghui Zhao
For quantum group of affine type, Lusztig gave an explicit construction of the affine canonical basis by simple perverse sheaves. In this paper, we construct a bar-invariant basis…