On the local Langlands conjecture in prime dimension

DOI10.2307/1971207zbMath0609.12017OpenAlexW2332117729WikidataQ123290429 ScholiaQ123290429MaRDI QIDQ5903330

Allen Moy, Philip C. Kutzko

Publication date: 1985

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bams/1183551293

zbMATH Keywords

admissible representationsWeil groupcuspidal representationsnon-archimedean local fieldLanglands conjecture\(\epsilon\)-factorstame base change

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11S37)

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Local tame lifting for \(GL(N)\). I: Simple characters, La conjecture de Langlands locale numérique pour ${\rm GL}(n)$, Dichotomy for generic supercuspidal representations ofG₂, Local Langlands correspondence and ramification for Carayol representations, An external approach to unitary representations, To an effective local Langlands Corrspondence, Correspondance de Langlands locale pour GLn et conducteurs de paires, Explicit unramified base change: \(\text{GL}(p)\) of a \(p\)-adic field