51 citations · 92 across the 30 of their papers we have counts for
6 papers · 1 filter
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…
A criterion for irreducibility of parabolic baby Verma modules of reductive Lie algebras
Yi-Yang Li, Bin Shu, Yu-Feng Yao
Let be a connected, reductive algebraic group over an algebraically closed field of prime characteristic and . In this paper, we study representati…
Generic property and conjugacy classes of homogeneous Borel subalgebras of restricted Lie algebras
Bin Shu
Let be a finite-dimensional restricted Lie algebra over an algebraically closed field of characteristic , and be the adjoint group of $\m…