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arXiv · 1507.01077

Bernstein center of supercuspidal blocks

Manish Mishra
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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 $\bf{ G}$.

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Manish Mishra. 2015-07-04. Bernstein center of supercuspidal blocks. https://doi.org/10.1515/crelle-2016-0041

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