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Irreducible modules of in characteristic with regular or subregular nilpotent -character
Bin Liu, Bin Shu, Xin Wen
Let $\bbk$ be an algebraically closed field of prime characteristic . If does not divide , irreducible modules over for regular and subregular nilpotent re…
On Chevalley restriction theorem for semi-reductive algebraic groups and its applications
Ke Ou, Bin Shu, Yu-Feng Yao
An algebraic group is called semi-reductive if it is a semi-direct product of a reductive subgroup and the unipotent radical. Such a semi-reductive algebraic group naturally arises…
On enhanced reductive groups (I): Parabolic Schur algebras and the dualities related to degenerate double Hecke algebras
Bin Shu, Yunpeng Xue, Yufeng Yao
An enhanced algebraic group $\uG$ of $G=\GL(V)$ over $\bbc$ is a product variety $\GL(V)\times V$, endowed with an enhanced cross product. Associated with a natural tensor represen…
Borel subalgebras of Cartan Type Lie Algebras
Ke Ou, Bin Shu
Let be Jacobson-Witt algebra over algebraic closed field with positive characteristic It is difficult to classify all Borel subalgebras of …
Super formal Daboux-Weinstein theorem and finite W superalgebra
Bin Shu, Husileng Xiao
Let $\vvv=\vvv_{\bar{0}}+\vvv_{\bar{1}}$ be a -graded (super) vector space with an even -action and $χ\in \vvv_{\bar{0}}^{*}$ be a fixed point of…
Jantzen filtration and strong linkage principle for modular Lie superalgebras
Lei Pan, Bin Shu
In this paper, we introduce super Weyl groups, their distinguished elements and properties for basic classical Lie superalgebras. Then we formulate Jantzen filtration for baby Verm…