A RELATIVE TRACE FORMULA BETWEEN THE GENERAL LINEAR AND THE METAPLECTIC GROUP II: DESCENT

DOI10.17654/NT050020113zbMath1499.11209OpenAlexW3157325842MaRDI QIDQ5073996

Cesar Valverde

Publication date: 6 May 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/nt050020113

zbMATH Keywords

symplectic grouprelative trace formuladescentmetaplectic group

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

A FUNDAMENTAL LEMMA BETWEEN THE SYMPLECTIC AND THE METAPLECTIC GROUP: THE NON-SPLIT CASE

Cites Work

• Unnamed Item
• Local root numbers, Bessel models, and a conjecture of Guo and Jacquet
• Fourier coefficients and modular forms of half-integral weight
• A relative trace identity between \(\text{GL}_{2n}\) and \(\widetilde{\text{Sp}}_n\)
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• Shimura and Shintani correspondences
• The non-split symplectic period of a residual Eisenstein series on \(Sp_{2n}\)
• Jacquet modules of the Weil representations and families of relative trace identities

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