In our previous paper, we gave a complete classification of the unitary highest weight modules for the universal covers of the Lie groups $Sp(2n, \mathbb{ R}), SO^{ *}(2n)$ and $SU(p, q)$, using the Dirac inequality and the so called PRV product. In this paper, we complete the classification of the unitary highest weight modules for the remaining cases; i.e., universal covers of the Lie groups $SO_{ e}(2, n)$, $E_{ 6(-14)}$ and $E_{ 7(-25)}$. We also describe unitary highest weight modules with given infinitesimal characters.
Categories: math.RT