2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77035The eigenvalues of the elliptic N-body Ruijsenaars operator are obtained by a dynamical version of the algebraic nested Bethe ansatz method. We use a result of Felder and Varchenko, who showed how to obtain the Ruijsenaars operator as the transfer matrix of a particular representation of the elliptic quantum group associated to gl(N).Latex2e file (with amsart.sty)Quantum AlgebraAlgebraic nested Bethe ansatz for the elliptic Ruijsenaars modeltext