Aubert duals of strongly positive discrete series and a class of unitarizable representations

DOI10.1090/PROC/13461zbMath1386.22012OpenAlexW2525343369MaRDI QIDQ5270157

Ivan Matić

Publication date: 22 June 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13461

zbMATH Keywords

classical groupsJacquet modulesstrongly positive discrete seriesunitarizabilityAubert dual

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)

Related Items (5)

On Langlands quotients of the generalized principal series isomorphic to their Aubert duals ⋮ Degenerate principal series for classical and odd GSpin groups in the general case ⋮ Unnamed Item ⋮ Unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup ⋮ The explicit Zelevinsky–Aubert duality

Cites Work

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• Strongly positive representations of metaplectic groups
• The unitarizability of the Aubert dual of strongly positive square integrable representations
• Special representations of reductive p-adic groups are not integrable
• On Jacquet modules of representations of segment type
• Jacquet modules of strongly positive representations of the metaplectic group $\widetilde {Sp(n)}$
• Construction of discrete series for classical 𝑝-adic groups
• Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
• Paquets stables des s\'eries discr\`etes accessibles par endoscopie tordue; leur param\`etre de Langlands

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