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Regular version of the site

Article

Quantum groups and functional relations for lower rank

Journal of Geometry and Physics. 2017. Vol. 112. P. 1-28.
Nirov Khazret S., Razumov A. V.

A detailed construction of the universal integrability objects related to the integrable
systems associated with the quantum loop algebra Uq(L(sl2)) is given. The full proof of the
functional relations in the form independent of the representation of the quantum loop
algebra 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. This is a digression
of the corresponding consideration for the case of the quantum loop algebra Uq(L(sl3)) with
an extension to the higher spin case.