On the construction of tame supercuspidal representations
Representation Theory
2023-06-22 v2
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.
Cite
@article{arxiv.1908.09819,
title = {On the construction of tame supercuspidal representations},
author = {Jessica Fintzen},
journal= {arXiv preprint arXiv:1908.09819},
year = {2023}
}
Comments
16 pages; Section 4 rewritten. For an analogous construction of cuspidal representations with modular coefficients see arXiv:1905.06374v3