  The irreducible tensor bases of exceptional Lie algebras G2, F4 and E6 are
built by grouping their Cartan-Weyl bases according to the respective chains
G2> SO(3) * SO(3), F4 > SO(3)*SO(3)*SO(3)*SO(3) and E6>
SO(3)*SO(3)*SO(3)*SO(3). The explicit commutation relations of the irreducible
tensor bases of these algebras are given also respectively.
