We review the recent results we have obtained in the framework of
algebraic Bethe ansatz based on algebras and superalgebras of rank
greater than 1 or on their quantum deformation. We present different
expressions (explicit, recursive or using the current realization of the
algebra) for the Bethe vectors. Then, we provide a general expression
(as sum over partitions) for their scalar products. For some particular
cases (in the case of gl(3)gl(3)
or its quantum deformation, or of gl(2|1)gl(2|1)),
we provide determinant expressions for the scalar products. We also
compute the form factors of the monodromy matrix entries, and give some
general methods to relate them. A coproduct formula for Bethe vectors
allows to get the form factors of composite models.