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Corpus ID: 202572915

Typical representations via fixed point sets in Bruhat--Tits buildings

@article{Latham2019TypicalRV,
title={Typical representations via fixed point sets in Bruhat--Tits buildings},
author={P. Latham and M. Nevins},
journal={arXiv: Representation Theory},
year={2019}
}

We establish two distinct and complementary sufficient conditions for the Mackey components of an essentially tame supercuspidal representation $\pi$ of an arbitrary connected reductive $p$-adic group $G$ to intertwine with representations of $G$ which are not inertially equivalent to $\pi$. These two results are applied to show that the unicity of types for such representations $\pi$ follows from (and is essentially equivalent to) some explicit questions regarding actions of tori on the Bruhat… CONTINUE READING