Distinguished Generic Representations of GL(n) over p-adic Fields
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Publication:3069516
DOI10.1093/imrn/rnq058zbMath1223.22015OpenAlexW1963795048MaRDI QIDQ3069516
Publication date: 26 January 2011
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imrn/rnq058
Related Items (33)
Gross-Prasad periods for reducible representations ⋮ Gamma factors of intertwining periods and distinction for inner forms of \(\operatorname{GL}(n)\) ⋮ The distinction problems for \(\operatorname{Sp}_4\) and \(\operatorname{SO}_{3,3}\) ⋮ Unnamed Item ⋮ ON A CERTAIN LOCAL IDENTITY FOR LAPID–MAO’S CONJECTURE AND FORMAL DEGREE CONJECTURE : EVEN UNITARY GROUP CASE ⋮ Test vectors for local periods ⋮ Local exterior square and Asai \(L\)-functions for \(\operatorname{GL}(n)\) in odd characteristic ⋮ The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\) ⋮ The local period integrals and essential vectors ⋮ Distinction of the Steinberg representation for inner forms of \(\mathrm{GL}(n)\) ⋮ Distinction of the Steinberg representation and a conjecture of Prasad and Takloo-Bighash ⋮ Intertwining periods and distinction forp‐adic Galois symmetric pairs ⋮ On two questions concerning representations distinguished by the Galois involution ⋮ On a local conjecture of Jacquet, ladder representations and standard modules ⋮ Local distinction, quadratic base change and automorphic induction for \(\mathrm{GL}_n\) ⋮ On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms ⋮ Distinction inside \(L\)-packets of \(\mathrm{SL}(n)\) ⋮ Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ Quaternion distinguished generic representations of \(\mathrm{GL}_{2n}\) ⋮ The Prasad conjectures for \(\mathrm{GSp}_4\) and \(\mathrm{PGSp}_4\) ⋮ The distinction problem for metaplectic case ⋮ ON -DISTINGUISHED REPRESENTATIONS OF THE QUASI-SPLIT UNITARY GROUPS ⋮ Distinguished representations of \(\mathrm{GL}(n)\) and local converse theorems ⋮ Classification of standard modules with linear periods ⋮ Archimedean Theory and 𝜖-Factors for the Asai Rankin-Selberg Integrals ⋮ Galois self-dual cuspidal types and Asai local factors ⋮ 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 ⋮ Characterisation of the poles of the $\ell$-modular Asai $L$-factor ⋮ Derivatives and exceptional poles of the local exterior square \(L\)-function for \(\mathrm{GL}_m\) ⋮ Supercuspidal representations of \(\mathrm{GL}_n(\mathrm{F})\) distinguished by a Galois involution ⋮ Top degree Ext-groups and relatively supercuspidal spectra ⋮ Periods of residual automorphic forms ⋮ Linear periods for unitary representations
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