Unitarizability of a certain class of irreducible representations of classical groups

DOI10.1007/s00229-008-0204-9zbMath1218.22007OpenAlexW2008693553MaRDI QIDQ1003131

Marcela Hanzer

Publication date: 26 February 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0204-9

Mathematics Subject Classification ID

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)

Related Items

Unitarizability in Corank Three for Classical 𝑝-adic Groups ⋮ Eisenstein Series Arising from Jordan Algebras ⋮ Aubert duals of discrete series: the first inductive step

Cites Work

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• The unitarizability of the Aubert dual of strongly positive square integrable representations
• A unitarity criterion for p-adic groups
• Special representations of reductive p-adic groups are not integrable
• The unitary dual of \(Gl(3,R)\) and \(Gl(4,R)\)
• Twisted endoscopy and reducibility of induced representations for \(p\)- adic groups
• Sur la classification des séries discrètes des groupes classiques \(p\)-adiques: paramètres de Langlands et exhaustivité. (On the classification of discrete series of classical \(p\)-adic groups: Langlands parameters and exhaustivity.)
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Composition series of generalized principal series; the case of strongly positive discrete series
• Structure arising from induction and Jacquet modules of representations of classical \(p\)-adic groups
• Unitarizability of certain series of representations
• A Proof of Casselman-Shahidi’s Conjecture for Quasi-split Classical Groups
• On regular square integrable representations of p -adic groups
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• On Certain L-Functions
• Induced representations of reductive ${\germ p}$-adic groups. I
• Construction of discrete series for classical 𝑝-adic groups
• The Aubert involution and R-groups
• Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
• Reducibility of Generalized Principal Series
• Reducibility of standard representations