On the Zassenhaus varieties of finite $W$-algebras in prime characteristic

Bin Shu, Yang Zeng

Let $Z(\mathcal{W})$ be the center of the finite $W$-algebra $\mathcal{W}(\mathfrak{g},e)$ associated with $\mathfrak{g}=\text{Lie}(G)$ and a nilpotent element $e\in \mathfrak{g}$…