Super Vust theorem and Schur-Sergeev duality for principal finite $W$-superalgebras

Changjie Cheng, Bin Shu, Yang Zeng

Considering the general linear Lie superalgebra $\mathfrak{gl}(m|n)=\mathfrak{gl}(m|n{)}_{\overline{\stackrel{ˉ}{0}}}\oplus \mathfrak{gl}(m|n{)}_{\overline{\stackrel{ˉ}{1}}}$ over $\mathbb{C}$, we first formulate…