Explicit computations of low lying eigenfunctions for the quantum   trigonometric Calogero-Sutherland model related to the exceptional algebra E7
  In the previous paper math-ph/0507015 we have studied the characters and Clebsch-Gordan series for the exceptional Lie algebra E7 by relating them to the quantum trigonometric Calogero-Sutherland Hamiltonian with coupling constant K=1. Now we extend that approach to the case of general K. 
J. Fernandez Nunez, W. Garcia Fuertes, A.M. Perelomov