Functional Hecke algebras and simple Bernstein blocks of a p-adic GL_n in non-defining characteristic

David-Alexandre Guiraud

Let $G_n={\mathrm{GL}}_n(F)$, where $F$ is a non-archimedean local field with residue characteristic $p$ and where $n=2k$ is even. In this article, we investigate a questio…