  We discuss the nearest neighbor distribution of the eigenvalues for hermitian
generators in the Lie algebra of a semisimple complex Lie Group along a
sequence of irreducible representations. After the basic definitions a limit
theorem for rays of irreducible representation is formulated. Then it is proved
that only a certain kind of rescaling will give meaning full results in the
general case. Finally, we give explicit formulas for the Lipkin operator in the
case of SU(3).
