Bernstein-Zelevinsky derivatives, branching rules and Hecke algebras

Kei Yuen Chan, Gordan Savin

Let $G$ be a split reductive group over a $p$-adic field $F$. Let $B$ be a Borel subgroup and $U$ the maximal unipotent subgroup of $B$. Let $\psi$ be a Whittaker character of $U$. Le…