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For every irreducible Harish-Chandra module of $O^{*}(4)$, we determine itstheta lift to $Sp(p,q)$ in terms of the Langlands parameter, for allnon-negative integers $p$ and $q$. Our strategy is to determine the desiredtheta lifts by their infinitesimal characters and lowest $K$-types.

The explicit theta correspondence for reductive dual pairs $(Sp(p,q),O^{*}(4))$