The cubic Dirac operator on compact quotients of the oscillator group

Ines Kath, Margarita Kraus

We determine the spectrum of Kostant's cubic Dirac operator $D^{1/3}$ on locally symmetric Lorentzian manifolds of the form $\Gamma \backslash {\mathrm{Osc}}_1$, where ${\mathrm{Osc}}_1$ is the fo…