Quantum groups and functional relations for higher rank

Understand

A detailed construction of the universal integrability objects related to the integrable systems associated with the quantum group $\mathrm U_q(\mathcal L(\mathfrak{sl}_3))$ is given.

• The full proof of the functional relations in the form independent of the representation of the quantum group on the quantum space is presented.
• The case of the general gradation and general twisting is treated.
• The specialization of the universal functional relations to the case when the quantum space is the state space of a discrete spin chain is described.