Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model

We propose a new type of the Yang-Baxter equation (YBE) and the decorated Yang-Baxter equation (DYBE). Those relations for the fermionic R -operator were introduced recently as a tool to treat the integrability of the fermion models. Using the YBE and the DYBE for the X X fermion model, we construct the fermionic R -operator for the one-dimensional (1D) Hubbard model. It gives another proof of the integrability of the 1D Hubbard model. Furthermore a new approach to the S O (4) symmetry of the 1D Hubbard model is discussed.

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