On stable Cartan subgroups of Lie groups

Parteek Kumar, Arunava Mandal, Shashank Vikram Singh

Let $G$ be a connected real Lie group with associated Lie algebra $\mathfrak{g}$, and let $\mathrm{Aut}(G)$ be the group of (Lie) automorphisms of $G$. It is noted here that, given a s…