2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75016An explicit classification of homogeneous quaternionic Kaehler structures by real tensors is derived and we relate this to the representation-theoretic description found by Fino. We then show how the quaternionic hyperbolic space HH(n) is characterised by admitting homogeneous structures of a particularly simple type. In the process we study the properties of different homogeneous models for HH(n).40 pagesDifferential Geometry53C30; 53C26text