engleski

Discrete series of metaplectic groups having generic theta lifts

We prove that a discrete series representations of metaplectic group over a non-archimedean local eld has a generic theta lift on the split odd orthogonal tower if and only if it is generic. Also, we determine the rst occurrence indices of such representations and describe the structure of their theta lifts.

theta correspondence; metaplectic groups; generic representations; discrete series

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