On the Whittaker range of the generalized metaplectic theta lift

DOI10.1016/j.jnt.2023.08.007arXiv2109.05099OpenAlexW3201465752MaRDI QIDQ6086972

David Ginzburg, Solomon Friedberg

Publication date: 14 November 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05099

zbMATH Keywords

Weil representationmetaplectic covertheta liftingunipotent orbit

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Metaplectic forms
• Splitting metaplectic covers of dual reductive pairs
• On Fourier coefficients of automorphic forms of symplectic groups
• Descent and theta functions for metaplectic groups
• On the theory of Jacobi forms and Fourier-Jacobi coefficients of Eisenstein series
• Theta lifts of generic representations for dual pairs \((\mathrm{Sp}_{2n}, \mathrm{O}(V))\)
• On the wavefront sets associated with theta representations
• Classical theta lifts for higher metaplectic covering groups
• Certain conjectures relating unipotent orbits to automorphic representations
• Distinguished theta representations for certain covering groups
• A cubic analogue of the theta series.
• Induced representations of reductive ${\germ p}$-adic groups. I
• $L$-functions for symplectic groups
• Theta Functions on Covers of Symplectic Groups
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
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