Distinguished tame supercuspidal representations and odd orthogonal periods

DOI10.1090/S1088-4165-2012-00418-6zbMath1253.22010arXiv1108.5114MaRDI QIDQ2889352

Jeffrey Hakim, Joshua M. Lansky

Publication date: 7 June 2012

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5114

zbMATH Keywords

orthogonal groupinvolutiondistinguished representationsupercuspidal representation

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) 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) Quadratic forms over local rings and fields (11E08)

Related Items (9)

Supercuspidal representations of \(\mathrm{GL}_n(F)\) distinguished by an orthogonal involution ⋮ Constructing tame supercuspidal representations ⋮ Theta lifts and distinction for regular supercuspidal representations ⋮ Distinguished tame supercuspidal representations of symmetric pairs \(\mathrm{Sp}_{4n}(F), \mathrm{Sp}_{2n}(E))\). With an appendix by Dihua Jiang and Lei Zhang ⋮ On irreducible generic representations distinguished by orthogonal groups ⋮ Distinguished cuspidal representations over \(p\)-adic and finite fields ⋮ Distinguished regular supercuspidal representations ⋮ Tame supercuspidal representations of 𝐺𝐿_{𝑛} distinguished by orthogonal involutions ⋮ Supercuspidal representations of $\mathrm{GL}_{n}(F)$ distinguished by a unitary involution

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