2 problems

Fix a regular block of $U_\chi(\mathfrak{g})$, with $\chi$ nilpotent, and let $\mathcal{S}$ be a complete set of nonisomorphic simple modules in this block. If $\chi$ corresponds t…

Let $G$ be a reductive algebraic group over an algebraically closed field of characteristic $p>0$, let ${\mathfrak g}$ be its Lie algebra, and let $\chi\in{\mathfrak g}^{*}$ be nil…