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R–groups for metaplectic groups

In this short note, we completely describe a parabolically induced representation IndSp(2n)˜P(σ), its length and multiplicities. Here Sp(2n)˜ is a p-adic metaplectic group, and σ is a discrete series representation of a Levi subgroup of P. A multiplicity one result follows.

metaplectic p–adic groups ; R–groups ; discrete series

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