Unipotent quantum coordinate ring and prefundamental representations for types $A_n^{(1)}$ and $D_n^{(1)}$

Il-Seung Jang, Jae-Hoon Kwon, Euiyong Park

We give a new realization of the prefundamental representations $L_{r,a}^{\pm }$ introduced by Hernandez and Jimbo, when the quantum loop algebra $U_q(\mathfrak{g})$ is of types $A_n^…