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Journal article

On local zeta-integrals for GSp(4) and GSp(4) x GL(2)

UniDistance Suisse

  • 2023
Published in:
  • Accepted to appear in New York Journal of Mathematics. - 2023
English We prove that Novodvorsky’s definition of local L-factors for generic representations of GSp(4) × GL(2) is compatible with the local Langlands correspondence when the GL(2) representation is non-supercuspidal. We also give an interpretation in terms of Langlands parameters of the “exceptional” poles of the GSp(4) × GL(2) L-factor, and of the “subregular” poles of GSp(4) L-factors studied in recent work of Rosner and Weissauer; and deduce consequences for Gan–Gross–Prasad type branching laws, either for reducible generic representations, or for irreducible but non-generic representations.
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Language
  • English
Classification
Mathematics
Other electronic version

Preprint on Mathematics ArXiv

License
CC BY
Open access status
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Identifiers
  • ARK ark:/51647/srd1326784
Persistent URL
https://n2t.net/ark:/51647/srd1326784
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