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- W3104900237 abstract "Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$. Let $sigma$ be an irreducible smooth representation of the absolute Weil group $Cal W_F$ of $F$ and $sw(sigma)$ the Swan exponent of $sigma$. Assume $sw(sigma) ge1$. Let $Cal I_F$ be the inertia subgroup of $Cal W_F$ and $Cal P_F$ the wild inertia subgroup. There is an essentially unique, finite, cyclic group $varSigma$, of order prime to $p$, so that $sigma(Cal I_F) = sigma(Cal P_F)varSigma$. In response to a query of Mark Reeder, we show that the multiplicity in $sigma$ of any character of $varSigma$ is bounded by $sw(sigma)$." @default.
- W3104900237 created "2020-11-23" @default.
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- W3104900237 date "2020-01-01" @default.
- W3104900237 modified "2023-09-25" @default.
- W3104900237 title "Tame multiplicity and conductor for local Galois representations" @default.
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- W3104900237 doi "https://doi.org/10.2140/tunis.2020.2.337" @default.
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