Generalized Shalika model on SO_4n(F), symplectic linear model on Sp_4n(F) and theta correspondence

2014/09/23 by Marcela Hanzer, Hanzer, Marcela
Mathematics · Physics and Astronomy · #11F70 #22E50 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1409.6760

openalex publication_date 2014/09/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that if an irreducible admissible representation of SO_4n(F) has a generalized Shalika model, then its small theta lift to Sp_4n(F) has the symplectic linear model, thus answering a question posed by D. Jiang. Here F is a non-archimedean field of characteristic zero.

Citations

• Restrictions of representations of classical groups: examples

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