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math.RT2017
On purity theorem of Lusztig's perverse sheaves
Jie Xiao, Fan Xu, Minghui Zhao
Let be a finite quiver without loops and be the Lusztig category for any dimension vector . The purpose of this paper is to prove that all Frobenius eigenval…
math.RT2017
Geometric realizations of Lusztig's symmetries on the whole quantum groups
Minghui Zhao
In this paper, we shall study the structure of the Grothendieck group of the category consisting of Lusztig's perverse sheaves and give a decomposition theorem of it. By using this…