2 problems

Let ${\mathcal A}$ be a complex hyperplane arrangement, let $A=H^*(X({\mathcal A}),\Bbbk)$ be its Orlik-Solomon algebra over a field of characteristic $0$, and let $E$ be the exter…

Let $W$ be a finite Coxeter group of rank $n$, let $\mathcal R$ be a set of representatives of its conjugacy classes, and let $C_W(w)$ be the centralizer of $w$. Let $\rho_W$ be th…