  By the universal integrability objects we mean certain monodromy-type and
transfer-type operators, where the representation in the auxiliary space is
properly fixed, while the representation in the quantum space is not. This
notion is actually determined by the structure of the universal R-matrix. We
call functional relations between such universal integrability objects, and so,
being independent of the representation in the quantum space, the universal
functional relations. We present a short review of the universal functional
relations for the quantum integrable systems associated with the quantum groups
of loop Lie algebras.
