8 citations · 20 across the 10 of their papers we have counts for
10 papers
On the Zassenhaus varieties of finite -algebras in prime characteristic
Bin Shu, Yang Zeng
Let be the center of the finite -algebra associated with and a nilpotent element …
On the one-dimensional representations of finite -superalgebras for
Fanlei Yang, Yang Zeng
Let be the general linear Lie superalgebra over an algebraically closed field of characteristic zero. Fix an arbitrary e…
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 r…
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…
Centers and Azumaya loci of finite -algebras
Bin Shu, Yang Zeng
In this paper, we study the center of the finite -algebra associated with a semi-simple Lie algebra over an algebraically closed…
Minimal W-superalgebras and modular representations of basic Lie superalgebras
Yang Zeng, Bin Shu
Let be a basic Lie superalgebra over , and a minimal nilpotent element in . Set $W…
Finite -superalgebras and the dimensional lower bounds for the representations of basic Lie superalgebras
Yang Zeng, Bin Shu
In this paper we formulate a conjecture about the minimal dimensional representations of the finite -superalgebra $U(\mathfrak{g}_\bbc,e)$ over the field of complex numbers and…
On Kac-Weisfeiler modules for general and special linear Lie superalgebras
Yang Zeng, Bin Shu
Let $\ggg:=\gl_{m|n}$ be a general linear Lie superalgebra over an algebraically closed field $\mathds{k}=\overline{\mathbb{F}}_p$ of characteristic . A module of is sa…
Finite W-superalgebras for basic Lie superalgebras
Yang Zeng, Bin Shu
We consider the finite -superalgebra $U(\mathfrak{g_\bbf},e)$ for a basic Lie superalgebra ${\ggg}_\bbf=(\ggg_\bbf)_\bz+(\ggg_\bbf)_\bo$ associated with a nilpotent element $e\i…
Finite W-superalgebras for basic classical Lie superalgebras
Yang Zeng, Bin Shu
We consider the finite W-superalgebras for a basic classical Lie superalgebra g associated with an even nilpotent element in g both over the field of complex numbers field and and…