arXiv:1908.09819 Abstract | arXiv Analytics

arXiv:1908.09819 [math.RT]Abstract References Reviews Resources

On the construction of tame supercuspidal representations

Published 2019-08-26Version 1

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.

Comments: 16 pages; this article supersedes Section 2 and 3 of arXiv:1905.06374v2

Categories: math.RT

Keywords: tame supercuspidal representations, non-archimedean local field, smooth complex representations, odd residual characteristic, revisit yus construction

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