2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162478We express the Hamiltonian of the quantum trigonometric Calogero-Sutherland model for the Lie algebra E8 and coupling constant k=1 by using the fundamental irreducible characters of the algebra as dynamical independent variables. Then, we compute the second order characters of the algebra and some higher order characters.Mathematical PhysicsExactly Solvable and Integrable Systems81R12; 17B80text