Derived right adjoints of parabolic induction: an example

Karol Koziol

Suppose $p\ge 5$ is a prime number, and let $G={\text{SL}}_2({\mathbb{Q}}_p)$. We calculate the derived functors ${\text{R}}^n{\mathcal{R}}_B^G(\pi )$, where $B$ is a Borel subgroup o…