The Conjectural Relation Between Generalized Shalika Models on $$\mathop{\mathrm{SO}}\nolimits _{4n}(F)$$ and Symplectic Linear Models on $$\mathop{\mathrm{Sp}}\nolimits _{4n}(F)$$ : A Toy Example

DOI10.1007/978-3-319-17987-2_4zbMath1383.11068OpenAlexW1686883100MaRDI QIDQ2799952

Agnès David, Judith Ludwig, Marcela Hanzer

Publication date: 14 April 2016

Published in: Association for Women in Mathematics Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17987-2_4

zbMATH Keywords

liftsShalika modelsirreducible admissible representationssymplectic linear models

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• The local Langlands conjecture for \(\text{GSp}(4)\)
• Symplectic supercuspidal representations of \(\text{GL}(2n)\) over \(p\)-adic fields
• Symplectic supercuspidal representations and related problems
• Howe correspondences on a \(p\)-adic field
• On reducibility of parabolic induction
• Formal degrees and local theta correspondence
• On the spinor norm
• The Local Langlands Conjecture for Sp(4)
• On Shalika periods and a theorem of Jacquet-Martin
• L-Indistinguishability For SL (2)
• Induced representations of reductive ${\germ p}$-adic groups. I
• On a correspondence between cuspidal representations of 𝐺𝐿_{2𝑛} and 𝑆𝑝̃_{2𝑛}
• Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence
• Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$
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