2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57435Using method of inducing, irreducible unitary representation of Cayley--Klein orthogonal groups were constructed. There was proved that Kirilov's method of orbits is relevant for study of the behavior of irreducible representations under transitions between Cayley--Klein groups.16 pages, amstex, no figuresMathematical Physicstext