4 problems

Let ${\bf g}$ be one of the twisted affine Lie algebra types $A_{2n}^{(2)}$ or $A_{2n-1}^{(2)}$, or let the type be $G_2^{(1)}$. Let ${\cal R}(\lambda)$ denote the universal dynami…

Let $\widehat{L}^+(v)\in\operatorname{End}(\mathbb{C}^N)\otimes U_{q,p}(\widehat{\mathfrak{sl}}_N)$ be the L-operator constructed from the half currents, and let $R^+(v,P)$ be the…

Elliptic quantum group and geometric representation conjectures. (1) Vertex operators of $U_{q,p}(\widehat{\mathfrak g})$ or $U_{t_1,t_2,p}(\mathfrak g_{tor})$ defined as intertwin…

Let $U_{q,p}([...??]$ be the elliptic quantum algebra with half currents assembled into the $L$-operator $[...??]$. For two auxiliary tensor components, write $[...??]$ and let…