The interaction between nearest-neighbor Ce ions mediated by conduction ele
ctrons is carefully analyzed for CeB6 by fully taking into account the symm
etry connecting two Ce ions as well as the nature of Gamma(8) wave function
s. It is shown that the interaction Hamiltonian resulting from the analysis
has a simple form containing a very felv parameters because of constraints
due to the symmetry. It is concluded quite generally from the interaction
Hamiltonian that when the AF quadrupole-quadrupole interaction of Gamma(5)-
type is strong. the AF octupole-octupole interaction of T-xyz type is equal
ly strong. Thus the present analysis gives a strong support to the importan
ce of T-xyz octupoles in CeB6.