Admissible modules and normality of classical nilpotent orbits II

Abstract

In this paper, we compute the character formula of the Brylinski model for all classical nilpotent varieties $\overline{\mathcal{O}}$. As a consequence, one can compute the multiplicities of all $K-$types of the ring of regular functions $R(\overline{\mathcal{O}})$ for all classical nilpotent varieties.

17 pages, preliminary version. This work is a sequel to arXiv:1801.06909