2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66455The traces of the quantum powers of a generic quantum matrix pairwise commute. This was conjectured by Kaoru Ikeda, in connection with certain Hamiltonian systems. The proof involves Newton's formulae for quantum matrices, relating traces of quantum powers with sums of principal minors.6 pagesQuantum AlgebraRings and Algebras81R50; 16W35; 20G42; 70H06text