2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34942We study separability of the Hamilton-Jacobi and massive Klein-Gordon equations in the general Kerr-de Sitter spacetime in all dimensions. Complete separation of both equations is carried out in 2n+1 spacetime dimensions with all n rotation parameters equal, in which case the rotational symmetry group is enlarged from (U(1))^n to U(n). We explicitly construct the additional Killing vectors associated with the enlarged symmetry group which permit separation. We also derive first-order equations of motion for particles in these backgrounds and examine some of their properties.17 pages, LaTeX2e. Corrected minor misprintsGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext