The Burger-Sarnak method and operations on the unitary dual of 𝐺𝐿(𝑛)

DOI10.1090/S1088-4165-05-00226-8zbMath1077.22022MaRDI QIDQ4674802

Akshay Venkatesh

Publication date: 18 May 2005

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

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 (8)

On restriction of unitarizable representations of general linear groups and the non-generic local Gan-Gross-Prasad conjecture ⋮ Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case) ⋮ 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 \(GL(n)\) ⋮ Branching laws for classical groups: the non-tempered case ⋮ The 𝑆𝐿(2)-type and base change ⋮ Annihilator varieties of distinguished modules of reductive Lie algebras

Cites Work

• The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
• Topology of unitary dual of nonarchimedean GL(n)
• On the functional equations satisfied by Eisenstein series
• Explicit Kazhdan constants for representations of semisimple and arithmetic groups
• Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants
• Le spectre résiduel de ${\rm GL}(n)$
• Ramanujan duals and automorphic spectrum
• Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
• Weak Containment and Induced Representations of Groups
• The Dual Space of Semi-Simple Lie Groups
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