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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 523=19, 2015.

Original scientific paper

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

Marcela Hanzer ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia

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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.

Keywords

Generalized Shalika model; symplectic linear model; theta correspondence

Hrčak ID:

145096

URI

https://hrcak.srce.hr/145096

Publication date:

16.9.2015.

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