A fundamental lemma for the Hecke algebra: the Jacquet-Rallis case

DOI10.1016/j.jnt.2022.06.003OpenAlexW4287734682WikidataQ114156449 ScholiaQ114156449MaRDI QIDQ2109414

Spencer Leslie

Publication date: 21 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2022.06.003

zbMATH Keywords

orbital integralspherical Hecke algebrafundamental lemmaJacquet-Rallis relative trace formulaGan-Gross-Prasad conjecturesunitary Ichino-Ikeda conjecture

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

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• Automorphic period and the central value of Rankin-Selberg L-function
• Kloosterman identities over a quadratic extension II

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