On the construction of tame supercuspidal representations
Keyword(s):
Let $F$ be a non-archimedean local field of residual characteristic $p \neq 2$ . 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 Yu [Construction of tame supercuspidal representations, J. Amer. Math. Soc. 14 (2001), 579–622], whose proofs relied on a typo in a reference.
2009 ◽
Vol 145
(1)
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pp. 213-246
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2002 ◽
Vol 45
(2)
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pp. 220-230
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2020 ◽
Vol 16
(06)
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pp. 1161-1183
Keyword(s):
2017 ◽
Vol 153
(2)
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pp. 358-372
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2019 ◽
pp. 1-51
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2021 ◽
Vol 0
(0)
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