Nilpotent orbits, normality, and Hamiltonian group actions

Ranee Brylinski, Bertram Kostant

Let $M$ be a $G$-covering of a nilpotent orbit in $\g$ where $G$ is a complex semisimple Lie group and $\g=\text{Lie}(G)$. We prove that under Poisson bracket the space $R[2]$ of h…