Dixmier Algebras for Classical Complex Nilpotent Orbits via Kraft-Procesi Models I
| dc.creator | Brylinski, Ranee | |
| dc.date | 2002-01-11 | |
| dc.date | 2003-03-27 | |
| dc.date.accessioned | 2026-07-07T04:45:49Z | |
| dc.date.available | 2026-07-07T04:45:49Z | |
| dc.description | 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 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. | |
| dc.description | 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-mail | |
| dc.identifier | https://arxiv.org/abs/math/0201103 | |
| dc.identifier | http://arxiv.org/abs/math/0201103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63098 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B35, 53D50, 22E46, 14L30 | |
| dc.title | Dixmier Algebras for Classical Complex Nilpotent Orbits via Kraft-Procesi Models I | |
| dc.type | text |