Residual spectrum of \(\mathrm{GL}_{2n}\) distinguished by the symplectic group

DOI10.1215/S0012-7094-06-13423-3zbMath1220.11072MaRDI QIDQ2501347

Omer Offen

Publication date: 6 September 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1155045504

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) 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 (13)

Gamma factors of intertwining periods and distinction for inner forms of \(\operatorname{GL}(n)\) ⋮ On parabolic induction associated with a \(p\)-adic symmetric space ⋮ The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\) ⋮ Existence of Klyachko models for \(\mathrm{GL}(n,\mathbb R)\) and \(\mathrm{GL}(n,\mathbb C)\) ⋮ Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ Distinguished residual spectrum for \(\mathrm{GL}_2(D)\) ⋮ Period Integrals of Automorphic Forms and Local Distinction ⋮ The support of closed orbit relative matrix coefficients ⋮ Symplectic periods of the continuous spectrum of \(\mathrm{GL}(2n)\) ⋮ On the distinguished spectrum of \(\mathrm{Sp}_{2n}\) with respect to \(\mathrm{Sp}_n \times \mathrm{Sp}_n\) ⋮ Klyachko models for ladder representations ⋮ On unitary representations of \(\mathrm{GL}_{2n}\) distinguished by the symplectic group ⋮ Periods of residual automorphic forms

Cites Work

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• Symplectic-Whittaker models for \(Gl_ n\)
• Kloosterman integrals for skew symmetric matrices
• On symplectic periods of the discrete spectrum of \(\mathrm{GL}_{2n}\)
• A duality for symmetric spaces with applications to group representations
• Le spectre résiduel de ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. I
• Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)

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