On parabolic induction associated with a \(p\)-adic symmetric space

DOI10.1016/j.jnt.2016.06.014zbMath1420.22017OpenAlexW2480383363MaRDI QIDQ311467

Omer Offen

Publication date: 13 September 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.06.014

zbMATH Keywords

distinguished representations\(p\)-adic symmetric spacesparabolic induction

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (16)

Gamma factors of intertwining periods and distinction for inner forms of \(\operatorname{GL}(n)\) ⋮ Generic representations for symmetric spaces. With an appendix by Yiannis Sakellaridis. ⋮ Intertwining periods and distinction forp‐adic Galois symmetric pairs ⋮ Linear intertwining periods and epsilon dichotomy for linear models ⋮ On local intertwining periods ⋮ Period Integrals of Automorphic Forms and Local Distinction ⋮ Speh representations are relatively discrete ⋮ The support of closed orbit relative matrix coefficients ⋮ ON -DISTINGUISHED REPRESENTATIONS OF THE QUASI-SPLIT UNITARY GROUPS ⋮ Relative non-cuspidality of representations induced from split parabolic subgroups ⋮ On symplectic periods and restriction to \(\mathrm{SL} (2n)\) ⋮ Klyachko periods for Zelevinsky modules ⋮ On some relatively cuspidal representations: cases of Galois and inner involutions on \(\mathrm{GL}_n\) ⋮ Top degree Ext-groups and relatively supercuspidal spectra ⋮ Linear periods for unitary representations ⋮ On certain 𝑆𝑝-distinguished principal series representations of the quasi-split unitary groups

Cites Work

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• Periods of Eisenstein series: the Galois case
• On rationality properties of involutions of reductive groups
• \(H\)-invariant distribution vectors of induced representations for a \(p\)-adic reductive symmetric space \(G/H\)
• Residual spectrum of \(\mathrm{GL}_{2n}\) distinguished by the symplectic group
• Induced representations of reductive ${\germ p}$-adic groups. I

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