# On the unicity of types for tame toral supercuspidal representations

@inproceedings{Latham2018OnTU, title={On the unicity of types for tame toral supercuspidal representations}, author={Peter E. Latham and Monica Nevins}, year={2018} }

For tame arbitrary-length toral, also called positive regular, supercuspidal representations of a simply connected and semisimple p-adic group G, constructed as per Adler-Yu, we determine which components of their restriction to a maximal compact subgroup are types. We give conditions under which there is a unique such component, and then present a class of examples for which there is not, disproving the strong version of the conjecture of unicity of types on maximal compact open subgroups. We… CONTINUE READING

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