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math.RT2002
Dixmier Algebras for Classical Complex Nilpotent Orbits via Kraft-Procesi Models I
Ranee Brylinski
We attach a Dixmier algebra B to the closure of any nilpotent orbit of G where G is GL(n,C), O(n,C) or Sp(2n,C). This algebra B is a noncommutative analog of the coordinate ring R…
math.RT1992
Nilpotent orbits, normality, and Hamiltonian group actions
Ranee Brylinski, Bertram Kostant
Let be a -covering of a nilpotent orbit in $\g$ where is a complex semisimple Lie group and $\g=\text{Lie}(G)$. We prove that under Poisson bracket the space of h…