We use the unitarity and cross-unitarity properties of the Z(n) symmet
ric R-matrix to construct the transfer matrix t(u) for an N-site open
spin chain. We prove that the t(u) constitute a one-parameter commutat
ive family. By using a new family of solutions of the reflection equat
ion, the Hamiltonian of the Belavin model with independent boundary co
nditions is obtained.