Some results on the eigenfunctions of the quantum trigonometric   Calogero-Sutherland model related to the Lie algebra E6
  The quantum trigonometric Calogero-Sutherland models related to Lie algebras admit a parametrization in which the dynamical variables are the characters of the fundamental representations of the algebra. We develop here this approach for the case of the exceptional Lie algebra E6. 
J. Fernandez Nunez, W. Garcia Fuertes, A. M. Perelomov