DIAGONAL SOLUTIONS TO REFLECTION EQUATIONS IN HIGHER SPIN MODELS

A general fusion method to find solutions to the reflection equation i n higher spin representations starting from the fundamental one is sho wn. The method is illustrated by applying it to obtaining the K diagon al boundary matrices in an alternating spin 1/2 and spin 1 chain. The Hamiltonian is also given. The applicability of the method to higher r ank algebras is shown by obtaining the K diagonal matrices for a spin chain in the {3} representation of su(3) from the {3} representation.