Abstract
In this short note, we completely describe a parabolically induced representation $$Ind_P^{Sp\widetilde{(2n,F)}}(\sigma)$$ , in particular, its length and multiplicities. Here, $$Sp\widetilde{(2n,F)}$$ is a p-adic metaplectic group, and σ is a discrete series representation of a Levi subgroup of P. A multiplicity one result follows.
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