3 problems

Let $I(\text{\eufmh})$ be the algebra specified in Theorem, and let $m$ be a maximal ideal of $I(\text{\eufmh})$. Conjecture 13.5.1. There is a $\lambda\in\text{\eufmh}^*$ such tha…

Sartori–Stroppel's conjecture. For every $\delta\in\mathbb C$, the center of $B_{r,s}(\delta)$ is generated by the supersymmetric polynomials in $L_1,\ldots,L_{r+s}$.

Affine cancellation characterization conjecture. The affine supersymmetric polynomials are exactly the elements $P$ for which $\mathcal{D}P$ does not contain negative powers of…