Geometric and algebraic parameterizations for Dirac cohomology of simple modules in ${\mathcal{O}}^{\mathfrak{p}}$ and their applications

Ho-Man Cheung

In this paper, we show that the Dirac cohomology $H_D(L(\lambda ))$ of a simple highest weight module $L(\lambda )$ in ${\mathcal{O}}^{\mathfrak{p}}$ can be parameterized by a specific set of weig…