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

DOI10.17654/0972555523002OpenAlexW4313297268WikidataQ125017590 ScholiaQ125017590MaRDI QIDQ6170191

Cesar Valverde

Publication date: 15 August 2023

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

Full work available at URL: https://doi.org/10.17654/0972555523002

zbMATH Keywords

symplectic grouprelative trace formuladescentmetaplectic groupfundamental lemma

Mathematics Subject Classification ID

Discontinuous groups and automorphic forms (11F99) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Cites Work

• 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
• \(p\)-adic Whittaker functions on the metaplectic group
• Shimura and Shintani correspondences
• Lifting cusp forms on \(\text{GL}_{2n}\) to \(\widetilde{\text{Sp}}_{2n}\): The unramified correspondence
• A RELATIVE TRACE FORMULA BETWEEN THE GENERAL LINEAR AND THE METAPLECTIC GROUP II: DESCENT
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