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The algebraic structure of the 1D Hubbard model is studied by means of thefermionic R-operator approach. This approach treats the fermion models directlyin the framework of the quantum inverse scattering method. Compared with thegraded approach, this approach has several advantages. First, the globalproperties of the Hamiltonian are naturally reflected in the algebraicproperties of the fermionic R-operator. We want to note that this operator is alocal operator acting on fermion Fock spaces. In particular, SO(4) symmetry andthe invariance under the partial particle hole transformation are discussed.Second, we can construct a genuinely fermionic quantum transfer transfer matrix(QTM) in terms of the fermionic R-operator. Using the algebraic Bethe Ansatzfor the Hubbard model, we diagonalize the fermionic QTM and discuss itsproperties.Comment: 22 pages, no figure

FermionicR-Operator and Algebraic Structure of 1D Hubbard Model: Its Application to Quantum Transfer Matrix