2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/200011The paper contains a brief review of recent results on hidden symmetries in higher dimensional black hole spacetimes. We show how the existence of a principal CKY tensor (that is a closed non-degenerate conformal Killing-Yano 2-form) allows one to generate a `tower' of Killing-Yano and Killing tensors responcible for hidden symmetries. These symmetries imply complete integrability of geodesic equations and the complete separation of variables in the Hamilton-Jacobi, Klein-Gordon and Dirac equations in the general Kerr-NUT-(A)dS metrics.10 pages, Prepared for the Proceedings of the ICGA8 conferenceGeneral Relativity and Quantum Cosmologytext