INTEGRABLE OPEN-BOUNDARY CONDITIONS FOR THE ONE-DIMENSIONAL BARIEV CHAIN

The integrable open-boundary conditions for the one-dimensional Bariev chain are considered. The diagonal boundary K matrices are found and the commuting transfer matrix is constructed. Since the local monodrom y matrix as well as the quantum R matrix do not possess the crossing s ymmetry, our construction shows that Sklyanin's formalism may be exten ded to apply to any one-dimensional systems integrable by the quantum inverse scattering method.