4 papers
math.RT2026
Basic quasi-reductive root data and supergroups
Rita Fioresi, Bin Shu
We investigate pairs , where is a reductive algebraic group and a purely-odd -superscheme, asking when a pair corresponds to a quasi-reductive algebraic supergrou…
math.RT2026
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 over an algebraically closed filed $\bk$, we define an enhanced…
math.RT2025
Highest weight theory for minimal finite -superalgebras and related Whittaker categories
Yang Zeng, Bin Shu
Let be a basic classical Lie superalgebra over , and with being a minimal…
math.RT2025
Super Vust theorem and Schur-Sergeev duality for principal finite -superalgebras
Changjie Cheng, Bin Shu, Yang Zeng
Considering the general linear Lie superalgebra over , we first formulate…