Correspondence of models under local theta lifting

DOI10.1016/j.jalgebra.2018.04.010zbMath1405.22026OpenAlexW2800423975WikidataQ129977857 ScholiaQ129977857MaRDI QIDQ2636365

Miyu Suzuki

Publication date: 5 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.04.010

zbMATH Keywords

linear modellocal theta correspondencemultiplicity oneShalika modelmodel transition

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• Multiplicity one theorems
• Model transition under local theta correspondence
• Symplectic supercuspidal representations of \(\text{GL}(2n)\) over \(p\)-adic fields
• Symplectic supercuspidal representations and related problems
• Howe correspondences on a \(p\)-adic field
• Splitting metaplectic covers of dual reductive pairs
• Local uniqueness of generalized Shalika models for \(\mathrm{SO}_{4n}\)
• Correspondance de Howe explicite : paires duales de type II
• Uniqueness of Shalika Models
• Generalized Shalika model on $\mathrm{SO}_{4n}(F),$ symplectic linear model on $\mathrm{Sp}_{4n}(F)$ and theta correspondence

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