2 problems

Let $J=\{\alpha_1,\alpha_2,\ldots,\alpha_6\}$. Let $\mathfrak{j}$ be either of the two elements of $\mathcal{M}_{\mathbf G}$ of the form $(\mathbf L_J,\mathcal{O}_0,\zeta_3)$, wher…

Let $G$ be any connected reductive group and suppose that $\boldsymbol{k}$ is big enough for $G$. For a fixed nilpotent orbit $\mathscr{O}$, consider the cuspidal pairs…