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

Boson Realization of the su(3)-Algebra. I: -- Schwinger Representation for the Lipkin Model --