The unicity of types for depth-zero supercuspidal representations

Latham, Peter

doi:10.1090/ert/511

The unicity of types for depth-zero supercuspidal representations
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by Peter Latham

Represent. Theory 21 (2017), 590-610

DOI: https://doi.org/10.1090/ert/511

Published electronically: December 13, 2017

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Abstract:

We establish the unicity of types for depth-zero supercuspidal representations of an arbitrary $p$-adic group $G$, showing that each depth-zero supercuspidal representation of $G$ contains a unique conjugacy class of typical representations of maximal compact subgroups of $G$. As a corollary, we obtain an inertial Langlands correspondence for these representations via the Langlands correspondence of DeBacker and Reeder.

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