The 𝑆𝐿(2)-type and base change

DOI10.1090/S1088-4165-09-00353-7zbMath1205.22017arXiv0808.3405OpenAlexW2907705443MaRDI QIDQ3558878

Omer Offen, Eitan Sayag

Publication date: 11 May 2010

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

Full work available at URL: https://arxiv.org/abs/0808.3405

zbMATH Keywords

local Langlands correspondencebase changeKlyachko modelZelevinsky involution\(p\)-adic \(\text{GL}(n)\)

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (7)

Unnamed Item ⋮ Invariant functionals on Speh representations ⋮ Existence of Klyachko models for \(\mathrm{GL}(n,\mathbb R)\) and \(\mathrm{GL}(n,\mathbb C)\) ⋮ Models of Representations and Langlands Functoriality ⋮ Annihilator varieties, adduced representations, Whittaker functionals, and rank for unitary representations of \(GL(n)\) ⋮ Klyachko periods for Zelevinsky modules ⋮ Annihilator varieties of distinguished modules of reductive Lie algebras

Cites Work

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• Parabolic Induction Via Hecke Algebras and the Zelevinsky Duality Conjecture
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• The Burger-Sarnak method and operations on the unitary dual of 𝐺𝐿(𝑛)
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• Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
• Global Mixed Periods and Local Klyachko Models for the General Linear Group

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