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Following the idea, recently, proposed by the present authors for thetwo-level pairing model, the Lipkin model is reexamined. It is a naturalgeneralization of the method already developed by the present authors withKuriyama. This model is a schematic model for many-fermion system and obeys thesu(2)-algebra. It is shown that the use of the Schwinger boson representation,the model is expressed in terms of the su(1,1) times su(1,1)-algebra and withthe aid of the MYT mapping method, it is disguised from the orginal form interms of the Holstein-Primakoff representation. Further, under various coherentstates, the classical counterparts are derived. It is concluded that the Lipkinmodel can be treated in the common ring as that of the two-level pairing model.Comment: 22 pages, no figure, using PTPTeX.cl

The Lipkin Model in Many-Fermion System as an Example of the su(1,1) ⊗ su(1,1)-Algebraic Model