Vanishing of local symplectic periods for cuspidal representations of the unitary group

DOI10.1016/j.crma.2016.11.009zbMath1421.22011OpenAlexW2560565190MaRDI QIDQ501873

Arnab Mitra, Omer Offen

Publication date: 10 January 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.11.009

zbMATH Keywords

unitary groupssymplectic periodscuspidal representations

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

ON -DISTINGUISHED REPRESENTATIONS OF THE QUASI-SPLIT UNITARY GROUPS ⋮ Symplectic models for unitary groups ⋮ On disjointness of linear models and degenerate Whittaker models ⋮ On certain 𝑆𝑝-distinguished principal series representations of the quasi-split unitary groups

Cites Work

• Tempered representations for classical \(p\)-adic groups
• Distinguished tame supercuspidal representations of symmetric pairs \(\mathrm{Sp}_{4n}(F), \mathrm{Sp}_{2n}(E))\). With an appendix by Dihua Jiang and Lei Zhang
• Symplectic-Whittaker models for \(Gl_ n\)
• Vanishing periods of cusp forms over modular symbols
• On the support of Plancherel measure
• On tempered and square integrable representations of classical \(p\)-adic groups
• Constant term of functions on a \(p\)-adic reductive symmetric space
• Subrepresentation Theorem for p-adic Symmetric Spaces
• Construction of discrete series for classical 𝑝-adic groups
• Symplectic models for unitary groups

This page was built for publication: Vanishing of local symplectic periods for cuspidal representations of the unitary group