Israel Journal of Mathematics | 2019
R-groups for metaplectic groups
Abstract
In this short note, we completely describe a parabolically induced representation $$Ind_P^{Sp\\widetilde{(2n,F)}}(\\sigma)$$IndPSp(2n,F)~(σ), in particular, its length and multiplicities. Here, $$Sp\\widetilde{(2n,F)}$$Sp(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.