2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115287A notion of rank developed previously by the author is used to describe two correspondences which classify small unitary representations of split real forms of $E_6$ and $E_7$. The case of small principal series is studied in detail.Representation TheorySmall principal series and exceptional duality for two simply laced groupstext