2 problems

Let $P$ be a parabolic subgroup of $G$ with Levi subgroup $M$ and unipotent radical $U$, let $V\in\operatorname{Rep}({}^LG)$, and restrict $V$ to ${}^LP$. Choose a finite filtratio…

Let $G$ be a reductive group, let $B(G)_{\operatorname{bas}}$ denote the basic $sigma$-conjugacy classes, and let $G_b$ be the extended pure inner form corresponding to…