2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67603Let ${\cal O}$ be a quantizable coadjoint orbit of a semisimple Lie group $G$. Under certain hypotheses we prove that $#(π_1(\text{Ham}({\cal O})))\geq #(Z(G))$, where $\text{Ham}({\cal O})$ is the group of Hamiltonian symplectomorphisms of ${\cal O}$.6 pages. Added new reference. Proposition 4 correctedSymplectic Geometrytext