2 problems

Let ${\mathbf G}$ be a connected reductive group with Frobenius root $F$, let $s\in{\mathbf G}^{*F^*}$ be semisimple, and let $C_{{\mathbf G}^*}(s)$ satisfy condition $(*)$. Let…

Let ${\mathbf G}$ be a connected reductive group with Frobenius root $F$. For an $F^*$-stable semisimple element $s$ of the dual group, let ${\mathcal E}({\mathbf G}^F,(s))$ denote…