Vertex Operators for Boundary Algebras

We construct embeddings of boundary algebras into ZF algebras . Since it is known that these algebras are the relevant ones for the study of quantum integrable systems (with boundaries for and without for ), this connection allows to make the link between different approaches of the systems with boundaries. The construction uses the well-bred vertex operators built recently, and is classified by reflection matrices. It relies only on the existence of an R-matrix obeying a unitarity condition, and as such can be applied to any infinite dimensional quantum group.