Duality of Lusztig and RTT integral forms of Uv(Lsln)

We show that the Lusztig integral form is dual to the RTT integral form of the type A quantum loop algebra with respect to the new Drinfeld pairing, by utilizing the shuffle algebra realization of the former and the PBWD bases of the latter obtained in [13]. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

The Lusztig integral form is shown to be dual to the RTT integral form of the type A quantum loop algebra with respect to the new Drinfeld pairing, using the shuffle algebra realization of the former and the PBWD bases of the latter obtained in [13].