Minimal Nilpotent Orbits of type G2, F4 and E8

Boming Jia

Let $\mathfrak{g}$ be a complex simple Lie algebra of type $G_2$, $F_4$, or $E_8$. We prove that the closure ${\overline{\mathcal{O}}}_{\min }(\mathfrak{g})$ of its minimal nilpotent orb…