On the normality of commuting scheme for general linear Lie algebra

Artan Sheshmani, Xiaopeng Xia, Beihui Yuan

The commuting scheme ${\mathfrak{C}}_{\mathfrak{g}}^d$ for reductive Lie algebra $\mathfrak{g}$ over an algebraically closed field $\mathbb{K}$ is the subscheme of $\mathfrak{g}^{d…