  Standing on the results for the minimum weight states obtained in the
previous paper (I), an idea how to construct the linearly independent basis is
proposed for the su(n)-Lipkin model. This idea starts in setting up m
independent su(2)-subalgebras in the cases with n=2m and n=2m+1 (m=2,3,4,...).
The original representation is re-formed in terms of the spherical tensors for
the su(n)-generators built under the su(2)-subalgebras. Through this
re-formation, the su(m)-subalgebra can be found. For constructing the linearly
independent basis, not only the su(2)-algebras but also the su(m)-subalgebra
play a central role. Some concrete results in the cases with n=2, 3, 4 and 5
are presented.
