engleski

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

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.

Generalized Shalika model ; symplectic linear model ; theta correspondence

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