2 problems

Generalized Kac–Wakimoto conjecture. Every simple ${\mathfrak{g}}$-supermodule $J$ is ambidextrous. If $L$ is another simple supermodule satisfying

The atypicality conjecture. For every basic classical Lie superalgebra ${\mathfrak{g}}$ and every simple supermodule $L(\lambda)$ in $\mathcal{F}$,