Automorphic induction for \(\text{GL}(n,\mathbb C)\)

DOI10.1016/j.jfa.2009.12.013zbMath1193.22015OpenAlexW1995869869MaRDI QIDQ971798

Guy Henniart

Publication date: 17 May 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.12.013

zbMATH Keywords

Weil groupautomorphic induction\((\mathfrak{g},K)\) module

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (4)

On the K-Theory of the Reduced $$C^*$$ C ∗ -Algebras of $$GL(n,\mathbb {R})$$ G L ( n , R ) and $$GL(n,\mathbb {C})$$ G L ( n , C ) ⋮ On representations distinguished by unitary groups ⋮ On the Kottwitz-Shelstad normalization of transfer factors for automorphic induction for GLn ⋮ Poles of triple product L-functions involving monomial representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characters, asymptotic and n-homology of Harish-Chandra modules
• The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
• The Langlands classification and irreducible characters for real reductive groups
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Gelfand-Kirillov dimension for Harish-Chandra modules
• On Whittaker vectors and representation theory
• A proof of Kirillov's conjecture
• Automorphic induction for \(GL(n)\) (over local nonarchimedean fields)
• The characters of some induced representations of semi-simple Lie groups
• Théorème d'Atiyah-Bott pour les variétés ${\frak p}$-adiques et caractères des groupes réductifs
• Le spectre résiduel de ${\rm GL}(n)$
• L-Indistinguishability For SL (2)
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces
• Unitary dual ofGL(n) at archimedean places and global Jacquet–Langlands correspondence

This page was built for publication: Automorphic induction for \(\text{GL}(n,\mathbb C)\)