Vust's theorem and higher level Schur-Weyl duality for types B, C and D

Li Luo, Husileng Xiao

Let $G$ be a complex linear algebraic group, $\mathfrak{g}=\Lie(G)$ its Lie algebra and $e\in \mathfrak{g}$ a nilpotent element. Vust's theorem says that in case of $G=\GL(V)$, the…