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Local Theta correspondence of Tempered Representations and Langlands parameters (1602.01299v1)
Published 3 Feb 2016 in math.NT and math.RT
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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