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We apply the nested algebraic Bethe ansatz method to solve the eigenvalueproblem for the SU(4) extension of the Hubbard model. The Hamiltonian isequivalent to the SU(4) graded permutation operator. The graded Yang-Baxterequation and the graded Quantum Inverse Scattering Method are used to obtainthe eigenvalue of the SU(4) extension of the Hubbard model.Comment: Latex file, 12 page

Bethe Ansatz for theSU(4)Extension of the Hubbard Model