Bernstein center of supercuspidal blocks

Abstract

Let $\bf{ G}$ be a tamely ramified connected reductive group defined over a non-archimedean local field $k$. We show that the Bernstein center of a tame supercuspidal block of $\bf{ G}(k)$ is isomorphic to the Bernstein center of a depth zero supercuspidal block of $\bf{ G}^{0}(k)$ for some twisted Levi subgroup of $\bf{ G}^{0}$ of $\bf{ G}$.

Locations

• arXiv (Cornell University) - View - PDF
• DataCite API - View
• Journal für die reine und angewandte Mathematik (Crelles Journal) - View