5 problems

Let $U_q({\mathfrak{g}})$ be the quantum superalgebra under consideration, with index set $I$, and let ${\cal O}_{\rm int}$ be the category of $U_q({\mathfrak{g}})$-modules satisfy…

Let $C_k$ be the central elements of $\mathrm{U}_q(\mathfrak{gl}_{m,n})$ defined for $k\in\mathbb{Z}_+$ by the quantum trace construction in Theorem, and regard…

Wronskian formula conjecture.

Bethe strap conjecture. The T-function satisfies

Let $U_q\,\widehat{\mathfrak{sl}}_{m|n}$ be the quantum affine algebra and let ${\mathcal E}_{m|n}$ be the quantum toroidal algebra. Define…