Following a general form for the Schwinger boson representation of the
su(M+1) Lipkin model presented in the previous paper, three types of the
orthogonal sets characterizing the su(3)-algebra are proposed. In these three,
third is presented in Appendix. The intrinsic state is specified by two quantum
numbers and two excited state generating operators play a central role.Comment: 13 pages, no figure, using PTP.cl