Tate \(\gamma \)-factor, Weil index, and the metaplectic \(\widetilde{\gamma} \)-factor

DOI10.1007/S11139-021-00399-7zbMath1495.11057OpenAlexW3134569985MaRDI QIDQ2075073

Dani Szpruch

Publication date: 11 February 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00399-7

zbMATH Keywords

covering groupslocal factorsWeil indexmetaplectic gamma factorTate gamma factor

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

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• A short proof for the relation between Weil indices and 𝜖-factors
• A Godement–Jacquet type integral and the metaplectic Shalika model
• On the Local Coefficients Matrix for Coverings of $$\mathrm{SL}_2$$SL2

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