Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs

Petar Bakic; Marcela Hanzer

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arXiv · 1908.09807

Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs

Petar Bakic·Marcela Hanzer

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Abstract

In this paper, we completely describe the Howe correspondence for the dual pairs from the title over a nonarchimedean local field of characteristic zero. More specifically, for every irreducible admissible representation of these groups, we find its first occurrence index in the theta correspondence and we describe, in terms of their Langlands parameters, the small theta lifts on all levels.

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BibTeX RIS

Petar Bakic, Marcela Hanzer. 2019-08-26. Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs. https://arxiv.org/abs/1908.09807

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