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arXiv · 1908.09819

On the construction of tame supercuspidal representations

Jessica Fintzen
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Abstract

Let F be a non-archimedean local field of odd residual characteristic. Let G be a (connected) reductive group over F that splits over a tamely ramified field extension of F. We revisit Yu's construction of smooth complex representations of G(F) from a slightly different perspective and provide a proof that the resulting representations are supercuspidal. We also provide a counterexample to Proposition 14.1 and Theorem 14.2 in [Yu01], whose proofs relied on a typo in a reference.

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Jessica Fintzen. 2019-08-26. On the construction of tame supercuspidal representations. https://doi.org/10.1112/s0010437x21007636

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