Nontrivial bundles of coadjoint orbits over $S^2$

David Martínez Torres, Ignasi Mundet i Riera

Let $G$ be a compact connected semisimple Lie group with Lie algebra $\mathfrak{g}$. Let $\mathcal{O}\subset {\mathfrak{g}}^{\ast }$ be a coadjoint orbit. The action of $G$ on $\mathcal{O}$…