Bethe vectors, scalar products and form factors for integrable models
We apply the nested algebraic Bethe ansatz to integrable models with gl(3) symmetry. We obtain explicit representations for the Bethe vectors and their scalar products. In some particular cases, we find determinant formulas for the scalar products. Starting from these formulas and using the zero modes method we obtain compact determinant representations for the form factors of the monodromy matrix entries. The methods used to obtain these expressions can be sometimes generalized to other (super)algebras. We review what has been (or can be) done, depending on the algebra under consideration.