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arXiv · 1606.01691

The unicity of types for depth-zero supercuspidal representations

Peter Latham
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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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Peter Latham. 2016-06-06. The unicity of types for depth-zero supercuspidal representations. https://arxiv.org/abs/1606.01691

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