Disjoint pairs for \(\text{GL}_n (\mathbb R)\) and \(\text{GL}_n (\mathbb C)\)

DOI10.1016/j.crma.2011.11.011zbMath1250.22016OpenAlexW1977927719MaRDI QIDQ664912

Eitan Sayag, Avraham Aizenbud, Omer Offen

Publication date: 5 March 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.11.011

zbMATH Keywords

irreducible representationKlyachko modeldisjointness

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46)

Related Items (5)

Invariant functionals on Speh representations ⋮ Cohomologically induced distinguished representations and cohomological test vectors ⋮ On disjointness of linear models and degenerate Whittaker models ⋮ Twisted homology for the mirabolic nilradical ⋮ Annihilator varieties of distinguished modules of reductive Lie algebras

Cites Work

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• A general form of Gelfand-Kazhdan criterion
• Uniqueness and disjointness of Klyachko models
• An explicit model for the complex representations of the finite general linear groups
• Smooth Fréchet globalizations of Harish-Chandra modules
• Uniqueness of Ginzburg-Rallis models: The Archimedean case
• Schwartz Functions on Nash Manifolds
• (GL_n+1(F), GL_n(F)) is a Gelfand pair for any local field F
• Smooth transfer of Kloosterman integrals (the Archimedean case)

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