3 problems

Let $\Psi$ be a monomial in $Y_{i,a}$ for $1\leq i\leq M$ and $a\in\mathbb{C}^{\times}$, so that $L(\Psi)$ is a polynomial module. Assume that every $\ell$-weight of $L(\Psi)$ othe…

Let $\boldsymbol{\text{?}}$ denote the assertion about the $(q,\widetilde{q})$-deformed Cartan matrix associated with a $(01)$-sequence $\epsilon$ introduced immediately before thi…

Let ${\cal B}_{q,\lambda}(\widehat{sl}(M|N))$ be the elliptic quantum group associated with the affine Lie superalgebra $\widehat{sl}(M|N)$, and let $U_{q,p}(\widehat{sl}(M|N))$ be…