Uniqueness of Whittaker functionals on the metaplectic group

DOI10.1215/S0012-7094-94-07628-XzbMath0820.11037OpenAlexW1506866796MaRDI QIDQ1804667

Daniel Bump, Daniel B. Lieman

Publication date: 14 September 1995

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07628-x

zbMATH Keywords

local fieldinduced representationexceptional representationsmetaplectic extension of \(GL (r)\)unique Whittaker models

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (2)

On some applications of automorphic forms to number theory ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series

Cites Work

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• Metaplectic forms
• Cubic metaplectic forms on GL(3)
• Uniqueness and existence of Whittaker models for the metaplectic group
• Nonvanishing of \(L\)-series associated to cubic twists of elliptic curves
• Sur les représentations induites des groupes de Lie
• Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
• Induced representations of reductive ${\germ p}$-adic groups. I

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