Theta Functions on Covers of Symplectic Groups

zbMath1425.11107arXiv1601.04970MaRDI QIDQ4613564

David Ginzburg, Solomon Friedberg

Publication date: 24 January 2019

Full work available at URL: https://arxiv.org/abs/1601.04970

zbMATH Keywords

symplectic groupWhittaker functiontheta representationmetaplectic covergeneric representationunipotent orbitdescent integral

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (6)

On the wavefront sets associated with theta representations ⋮ Non-generic unramified representations in metaplectic covering groups ⋮ On the Whittaker range of the generalized metaplectic theta lift ⋮ Classical theta lifts for higher metaplectic covering groups ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ A generalized Theta lifting, CAP representations, and Arthur parameters

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