A sufficient condition for the irreducibility of a parabolically induced representation of \(GL(m,D)\)

DOI10.5802/aif.2828zbMath1315.22019OpenAlexW2316981996MaRDI QIDQ2511501

Erez M. Lapid, Ioan Badulescu, Alberto Mínguez

Publication date: 6 August 2014

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.2828

zbMATH Keywords

smooth representationsdivision algebrainner formsBernstein-Zelevinsky

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (9)

Construction of local \(A\)-packets ⋮ Intertwining periods and distinction forp‐adic Galois symmetric pairs ⋮ Study of multiplicities in induced representations of \(GL_n\) through a symmetric reduction ⋮ The Trace Formula and the Proof of the Global Jacquet-Langlands Correspondence ⋮ Reducibility of representations induced from the Zelevinsky segment and discrete series ⋮ Branching laws for classical groups: the non-tempered case ⋮ Representations induced from the Zelevinsky segment and discrete series in the half-integral case ⋮ On the relationship between distinction and irreducibility of parabolic induction ⋮ On parabolic induction on inner forms of the general linear group over a non-archimedean local field

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