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arXiv:1409.6760 [math.RT]AbstractReferencesReviewsResources

Generalized Shalika model on $\mathrm{SO}_{4n}(F),$ symplectic linear model on $\mathrm{Sp}_{4n}(F)$ and theta correspondence

Marcela Hanzer

Published 2014-09-23Version 1

We show that if an irreducible admissible representation of $\mathrm{SO}_{4n}(F)$ has a generalized Shalika model, then its small theta lift to $\mathrm{Sp}_{4n}(F)$ has the symplectic linear model, thus answering a question posed by D. Jiang. Here $F$ is a non-archimedean field of characteristic zero.

Categories: math.RT, math.NT
Subjects: 22E50, 11F70
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