3 problems

Annihilator-generator conjecture. For any central arrangement $Q$,

Solomon's conjecture. The element $\operatorname{sol}_F$ annihilates

Let $\mathfrak{g}$ be in the setup of the preceding construction, let $\mu\in\mathfrak{h}^*$ be such that the Verma module $M(\mu)$ is simple, and let…