New integrable models from fusion

Integrable multi state or multi flavour/colour models were recently introduced. They are generalizations of models corresponding to the defining representations of the Uq (sl(m))-circumflex quantum algebras. Here I show that a similar generalization is possible for all higher-dimensional representations. The R-matrices and the Hamiltonians of these models are constructed by fusion. The sl(2) case is treated in some detail and the spin-0 and spin-1 matrices are obtained in explicit forms. This provides in particular a generalization of the Fateev-Zamolodchikov Hamiltonian. (author)