Abstract
This paper presents some recent progress on the classification of the unitary genuine irreducible representations of the metaplectic group M p ( 2 n ) Mp(2n) . Our focus will be on Langlands quotients of genuine minimal principal series; the main result is an embedding of the set of unitary parameters of such representations into the union of spherical unitary parameters for certain split orthogonal groups. The latter are known from work of D. Barbasch; hence we obtain the non-unitarity of a large (conjecturally complete) set of parameters for Langlands quotients of genuine principal series of M p ( 2 n ) Mp(2n) .
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