Theta lifts of generic representations for dual pairs (Sp2n, O(V))
Abstract
We determine the occurrence and explicitly describe the theta lifts on all levels of all the irreducible generic representations for the dual pair of groups (Sp2n, O(V)) defined over a local nonarchimedean field F of characteristic 0. As a direct application of our results, we are able to produce a series of non-generic unitarizable representations of these groups.
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