Duality of Lusztig and RTT integral forms of $U_v(L\mathfrak{sl}_n)$

Alexander Tsymbaliuk

doi:10.1016/j.jpaa.2020.106469

paper

Duality of Lusztig and RTT integral forms of $U_{v} (L sl_{n})$

arXiv:1909.11814 · doi:10.1016/j.jpaa.2020.106469

Abstract

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 arXiv:1808.09536.

v1: 12 pages, comments are welcome! v2: 12 pages, minor corrections. v3: 13 pages, minor corrections, Remark 4.38 (claiming the opposite duality) added

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

Abstract

Duality of Lusztig and RTT integral forms of $U_{v} (L sl_{n})$