The genuine omega-regular unitary dual of the metaplectic group
In this paper the authors classify all genuine unitary representations of the metaplectic group of rank \(n\) whose infinitesimal character is real and at least as regular as that of an oscillator representation. Examples of such representations can be obtained using cohomological induction from tensor products of a one-dimensional representation and an oscillator representation. The main result of the paper asserts that the representations obtained in the latter way are all genuine unitary representations with infinitesimal character as above. The authors also conjecture a similar phenomenon for any double cover of a reductive linear group.
scientific article; zbMATH DE number 6042743