Lifting automorphic representations on the double covers of orthogonal groups

DOI10.1215/S0012-7094-06-13126-5zbMath1107.11024WikidataQ104026471 ScholiaQ104026471MaRDI QIDQ2501392

Solomon Friedberg, David Ginzburg, Daniel Bump

Publication date: 6 September 2006

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

Full work available at URL: https://projecteuclid.org/euclid.dmj/1137077888

zbMATH Keywords

Eisenstein seriesorthogonal groupstheta liftsmetaplectic groupsLanglands functorality\(L\)-groups

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (11)

On the wavefront sets associated with theta representations ⋮ Theta distinguished representations, inflation and the symmetric square \(L\)-function ⋮ Hecke modules from metaplectic ice ⋮ The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\) ⋮ Local descent to quasi-split even general spin groups ⋮ Classical theta lifts for higher metaplectic covering groups ⋮ THE DOUBLE COVER OF ODD GENERAL SPIN GROUPS, SMALL REPRESENTATIONS, AND APPLICATIONS ⋮ Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators ⋮ Dimensions of Automorphic Representations, L-Functions and Liftings ⋮ A generalized Theta lifting, CAP representations, and Arthur parameters ⋮ On the Local Coefficients Matrix for Coverings of $$\mathrm{SL}_2$$SL2

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