Cn(1), Dn(1) and A2n−1(2) reflection K-matrices Original Research Article

We investigate the possible regular solutions of the boundary Yang–Baxter equation for the vertex models associated with the Cn(1), Dn(1) and A2n−1(2) affine Lie algebras. We find three types of solutions with n, n−1 and 1 free parameters, respectively. Special cases and all diagonal solutions are presented separately.