Quantum trigonometric Calogero-Sutherland model and irreducible   characters for the exceptional algebra E8
  We 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. 
J. Fern\'andez N\'u\~nez, W. Garc\'ia Fuertes, A.M. Perelomov