Representations of tamely ramified p-adic division and matrix algebras

DOI10.1016/0022-314X(91)90093-QzbMath0728.11063MaRDI QIDQ804632

Harry Reimann

Publication date: 1991

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

matrix algebrairreducible representationscorrespondencedivision algebraWeil groupWeil-Deligne groupmethods of Bushnell and Fröhlichp-adic number fieldtwists with tame characters

Mathematics Subject Classification ID

Langlands-Weil conjectures, nonabelian class field theory (11S37) Finite-dimensional division rings (16K20)

Related Items

Unnamed Item, Explicit functorial correspondences for level zero representations of \(p\)-adic linear groups, Self-dual representations of some dyadic groups, On some constants in the supercuspidal characters of 𝐺𝐿_{𝑙}, 𝑙 a prime ≠𝑝, The essentially tame local Langlands correspondence, I, Explicit Whittaker data for essentially tame supercuspidal representations, Correspondance de Langlands locale pour GLn et conducteurs de paires

Cites Work

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• Representations of \(GL(n)\) and division algebras over a p-adic field
• Computing characters of tamely ramified p-adic division algebras
• Tamely ramified supercuspidal representations of \(Gl_n\)
• Lectures in modern analysis and applications. III
• Zeta functions of simple algebras
• Formes Modulaires et Representations De GL(2)
• Les Constantes des Equations Fonctionnelles des Fonctions L
• Non-Abelian Congruence Gauss Sums and _p -Adic Simple Algebras
• The Characters of the Finite General Linear Groups
• Local Constants and the Tame Langlands Correspondence
• Representation filters and their application in the theory of local fields.
• Zur Korrespondenz von Darstellungen der Galoisgruppen und der zentralen Divisionsalgebren über lokalen Körpern (Der zahme Fall)