2 problems

Let $k$ be an algebraically closed field of characteristic $p>0$, $G$ a finite group, $B$ a block of the group algebra $kG$ with defect group $D$, and $b$ the Brauer correspondent…

Let $G$ be a finite reductive group, let $\ell$ satisfy the preceding assumptions (B1)–(B3), let $T_w$ be the associated torus, let $b$ be the principal $\ell$-block of $G$, and le…