An irreducibility result in non-zero characteristic

DOI10.2748/tmj/1113246752zbMath1064.22003OpenAlexW2083072662MaRDI QIDQ1772212

Alexandru Ioan Badulescu

Publication date: 15 April 2005

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113246752

zbMATH Keywords

parabolic subgroupsPaley-Wiener theoremsquare-integrable representationsinduced representationsorbital integralsclose local fields

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Linear algebraic groups over global fields and their integers (20G30) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Linear algebraic groups over local fields and their integers (20G25)

Related Items (6)

The local Langlands correspondence for inner forms of \(\mathrm{SL}_{n}\) ⋮ Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\) ⋮ Représentations banales de ⋮ Proof of the Tadić conjecture (U0) on the unitary dual of GL m (D) ⋮ A sufficient condition for the irreducibility of a parabolically induced representation of \(GL(m,D)\) ⋮ On parabolic induction on inner forms of the general linear group over a non-archimedean local field

Cites Work

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• Un résultat de transfert et un résultat dintégrabilité locale des caractères en caractÉristique non nulle
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