2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63098We 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 of the orbit closure, in the sense that B has a G-invariant algebra filtration and gr B=R. We obtain B by making a noncommutative analog of the Kraft-Procesi construction which modeled the orbit closure as the algebraic symplectic reduction of a finite-dimensional symplectic vector space L. Indeed B is a subquotient of the Weyl algebra for L.16 pages. I added a half page of exposition and corrected some typos. Look at the end for my new addresses for hard mail and e-mailRepresentation TheoryQuantum Algebra17B35, 53D50, 22E46, 14L30text