2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/179486The nonstandard q-deformed algebras U'_q(so_n) are known to possess q-analogues of Gel'fand-Tsetlin type representations. For these q-algebras, all the Casimir elements (corresponding to basis set of Casimir elements of so(n)) are found, and their eigenvalues within irreducible representations are given explicitly.5 pages, LaTeX. Contribution to proceedings of III Int. Conf. "Symmetry in Nonlinear Mathematical Physics" (Kiev, 12-18 July, 1999)Quantum AlgebraGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical PhysicsRepresentation TheoryOn the Casimir Elements of q-Algebras U'_q(so_n) and Their Eigenvalues in Representationstext