2 problems

Let $\mathsf{qw}\kern-1.8pt\mathscr{B}_{m,n}$ be the quantum walled Brauer algebra with $\theta=\frac{\delta}{\gamma}$, let $\mathscr{C}\mathrm{r}_{m,n}$ denote the set of cross bi…

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