The \(\mathrm{PGSp}_{1,1}(\mathbb{A})\)-distinguished representations

DOI10.1007/s00209-020-02607-4zbMath1479.11069OpenAlexW3087078637MaRDI QIDQ2031723

Hengfei Lu

Publication date: 10 June 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-020-02607-4

zbMATH Keywords

Siegel-Weil formulaperiod problemsquaternionic Hermitian spaces

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (1)

The action of a mirabolic subgroup on a symmetric variety

Cites Work

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• On Certain L-Functions
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Quaternionic Distinguished Representations
• Periods and harmonic analysis on spherical varieties
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• The local Langlands conjecture for GSp(4), II: The case of inner forms
• Bessel models for GSp(4)
• Conservation relations for local theta correspondence
• Arithmeticity for periods of automorphic forms

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