Bin Shu

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20232026

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math.RT2026

On the Zassenhaus varieties of finite $W$ -algebras in prime characteristic

Bin Shu, Yang Zeng

Let $Z (W)$ be the center of the finite $W$ -algebra $W (g, e)$ associated with $g = Lie (G)$ and a nilpotent element $e \in g$ …

math.RT2024

Birational equivalence of the Zassenhaus varieties for basic classical Lie superalgebras and their purely-even reductive Lie subalgebras in odd characteristic

Bin Shu, Lisun Zheng, Ye Ren

Let $g = g_{0 ˉ} \oplus g_{1 ˉ}$ be a basic classical Lie superalgebra over an algebraically closed field $k$ of characteristic $p > 2$ . D…

math.RT2023

Duplex Hecke Algebras of type B

Yu Xie, An Zhang, Bin Shu

As a sequel to [14], in this article we first introduce a so-called duplex Hecke algebras of type B which is a Q(q)-algebra associated with the Weyl group W (B) of type B, and symm…

math.RT2023

Irreducible modules of modular Lie superalgebras and super version of the first Kac-Weisfeiler conjecture

Bin Shu

Suppose $g = g_{0} + g_{1}$ is a finite-dimensional restricted Lie superalgebra over an algebraically closed field $k$ of characteristic $p > 2$ . In this article, we propose a conjecture for…

On the Zassenhaus varieties of finite W-algebras in prime characteristic

Birational equivalence of the Zassenhaus varieties for basic classical Lie superalgebras and their purely-even reductive Lie subalgebras in odd characteristic

Duplex Hecke Algebras of type B

Irreducible modules of modular Lie superalgebras and super version of the first Kac-Weisfeiler conjecture

On the Zassenhaus varieties of finite $W$ -algebras in prime characteristic