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Boundary conditions compatible with integrability are obtained for twodimensional models by solving the factorizability equations for the reflectionmatrices $K^{\pm}(\theta)$. For the six vertex model the general solutiondepending on four arbitrary parameters is found. For the $A_{n-1}$ models alldiagonal solutions are found. The associated integrable magnetic Hamiltoniansare explicitly derived.Comment: 9 pages,latex, LPTHE-PAR 92-4

Boundary K-matrices for the six vertex and the n(2n-1)An-1vertex models

Boundary K-matrices for the six vertex and the n(2n-1)A_n-1vertex models