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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


Puni tekst: engleski pdf 200 Kb

str. 55-68

preuzimanja: 471

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Sažetak

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.

Ključne riječi

Generalized Shalika model, symplectic linear model, theta correspondence

Hrčak ID:

145096

URI

https://hrcak.srce.hr/145096

Posjeta: 755 *