Fourier coefficients for theta representations on covers of general linear groups

DOI10.1090/tran/7429zbMath1473.11105arXiv1602.06614OpenAlexW3099930516MaRDI QIDQ5380477

Yuanqing Cai

Publication date: 5 June 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06614

zbMATH Keywords

Fourier coefficienttheta representationunipotent orbitmetaplectic tensor productunique functionalsemi-Whittaker coefficient

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) 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 ⋮ Classical theta lifts for higher metaplectic covering groups ⋮ Generating functions on covering groups ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ Kazhdan-Lusztig representations and Whittaker space of some genuine representations ⋮ A generalized Theta lifting, CAP representations, and Arthur parameters

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