B. Shu

activity

20072023

most citedModular representations of the ortho-symplectic supergroups

51 citations · 92 across the 30 of their papers we have counts for

collaborators

30 papers

math.RT2023

Modular representations of strange classical Lie superalgebras and the first super Kac-Weisfeiler conjecture

Ye Ren, Bin Shu, Fanlei Yang +1

Suppose $g = g_{0 ˉ} + g_{1 ˉ} i s a L i es u p er a l g e b r a o f q u eer t y p eor p er i pl ec t i c t y p eo v er ana l g e b r ai c a l l y c l ose df i e l d$ \textbf{k}$ of charact…

math.RT2023

Basic quasi-reductive root data and supergroups

Rita Fioresi, Bin Shu

We investigate pairs $(G, Y)$ , where $G$ is a reductive algebraic group and $Y$ a purely-odd $G$ -superscheme, asking when a pair corresponds to a quasi-reductive algebraic supergrou…

math.RT2022

Jantzen filtration of Weyl modules for general linear supergroups

Yiyang Li, Bin Shu

Let $G = G L (m ∣ n)$ be a general linear supergroup over an algebraically closed field $k$ of odd characteristic $p$ . In this paper we construct Jantzen filtration of Weyl modules $V(λ)…

math.RT2022

Highest weight theory for minimal finite $W$ -superalgebras and related Whittaker categories

Yang Zeng, Bin Shu

Let $g = g_{0 ˉ} + g_{1 ˉ}$ be a basic classical Lie superalgebra over $C$ , and $e = e_{θ} \in g_{0 ˉ}$ with $- θ$ being a minimal r…

math.RT2021

Irreducible modules of $sl_{m p}$ in characteristic $p$ with regular or subregular nilpotent $p$ -character

Bin Liu, Bin Shu, Xin Wen

Let $\bbk$ be an algebraically closed field of prime characteristic $p$ . If $p$ does not divide $n$ , irreducible modules over $sl_{n}$ for regular and subregular nilpotent re…

math.RT2021★ 1 cited

On enhanced reductive groups (II): Finiteness of nilpotent orbits under enhanced group action and their closures

Bin Shu, Yunpeng Xue, Yufeng Yao

This is a sequel to \cite{osy} and \cite{sxy}. Associated with $G:=\GL_n$ and its rational representation $(ρ, M)$ over an algebraically closed filed $\bk$, we define an enhanced a…