Minghui Zhao

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20122022

most citedOn bases of quantum affine algebras

1 citations · 1 across the 5 of their papers we have counts for

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math.RT2022

Derivation functors and Lusztig's induction functors

Minghui Zhao

Lusztig proved the compatibility of induction functors and restriction functors for Lusztig's perverse sheaves. Fang-Lan-Xiao established a categorification of Green's formula and…

math.RT2021★ 1 cited

On bases of quantum affine algebras

Jie Xiao, Han Xu, Minghui Zhao

Let $U^{+}$ be the positive part of the quantum group $U$ associated with a generalized Cartan matrix. In the case of finite type, Lusztig constructed the canonical…

math.RT2020

Constructions of highest weight modules of double Ringel-Hall algebras via functions

Minghui Zhao

In [19], Zheng studied the bounded derived categories of constructible $Q ˉ_{l}$ -sheaves on some algebraic stacks consisting of the representations of a enlarged quiver…

math.RT2012

BGP-Reflection Functors and Lusztig's Symmetries of Modified Quantized Enveloping Algebras

Jie Xiao, Minghui Zhao

Let $U$ be the quantized enveloping algebra and $U ˙$ its modified form. Lusztig gives some symmetries on $U$ and $U ˙$ . Since the reali…

math.RT2012

A parameterization of the canonical bases of affine modified quantized enveloping algebras

Jie Xiao, Minghui Zhao

For symmetrizable Kac-Moody Lie algebra $g$ , Lusztig introduced the modified quantized enveloping algebra $U ˙ (g)$ and its canonical basis in [12]. I…