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arXiv · 1602.01299

Local Theta correspondence of Tempered Representations and Langlands parameters

Hiraku Atobe·Wee Teck Gan
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Abstract

In this paper, we give an explicit determination of the theta lifting for symplectic-orthogonal and unitary dual pairs over a nonarchimedean field $F$ of characteristic $0$. We determine when theta lifts of tempered representations are nonzero, and determine the theta lifts in terms of the local Langlands correspondence.

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Hiraku Atobe, Wee Teck Gan. 2016-02-03. Local Theta correspondence of Tempered Representations and Langlands parameters. https://doi.org/10.1007/s00222-017-0730-8

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