Distinguished representations of \(\mathrm{GL}_n(\mathbb C)\)

DOI10.1007/S11856-015-1179-3zbMath1322.22015arXiv1212.6436OpenAlexW2048766604MaRDI QIDQ2351754

Alexander Kemarsky

Publication date: 26 June 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6436

zbMATH Keywords

distinguished representations\(\mathrm{GL}_n(\mathbb C)\)

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (6)

On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms ⋮ Test vectors for Archimedean period integrals ⋮ Distinction inside \(L\)-packets of \(\mathrm{SL}(n)\) ⋮ The action of a mirabolic subgroup on a symmetric variety ⋮ Plancherel formula for \(\mathrm{GL}_n(F)\setminus \mathrm{GL}_n(E)\) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups ⋮ The generalized linear periods

Cites Work

• Multiplicity one theorems
• Generalized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem. With an appendix by the authors and Eitan Sayag.
• Multiplicity one theorems: the Archimedean case
• Multiplicity one theorem for \((\text{GL}_{n+1}({\mathbb{R}}), \text{GL}_{n} ({ \mathbb{R}}))\)
• A proof of Kirillov's conjecture
• Canonical Extensions of Harish-Chandra Modules to Representations of G
• (GL_n+1(F), GL_n(F)) is a Gelfand pair for any local field F
• On local root numbers and distinction
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