2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169156In this note, we consider the Dirac operator $D$ on a Riemannian symmetric space $M$ of noncompact type. Using representation theory we show that $D$ has point spectrum iff the $\hat A$-genus of its compact dual does not vanish. In this case, if $M$ is irreducible then $M = U(p,q)/U(p) \times U(q)$ with $p+q$ odd, and $Spec_p(D) = \{0\}$.amstex, 8 pagesDifferential GeometrySpectral Theory53C35 (Primary) 58G25 (Secondary)text