Small unitary representations of the double cover of $\operatorname{SL}(m)$
Small unitary representations of the double cover of $\operatorname{SL}(m)$
The irreducible unitary representations of the double cover $\widetilde {\mathrm {SL}(m)}$ of the real group $\mathrm {SL}(m)$, with infinitesimal character $\frac {1}{2}\rho$, which are small in the sense that their annihilator in the universal enveloping algebra is maximal, are expressed as Langlands quotients of generalized principal series. In the case …