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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Hanzer, M. R-groups for metaplectic groups. Isr. J. Math. 231, 467–488 (2019). https://doi.org/10.1007/s11856-019-1860-z
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DOI: https://doi.org/10.1007/s11856-019-1860-z