Ideals of cubic algebras and an invariant ring of the Weyl algebra
| dc.creator | De Naeghel, K. | |
| dc.creator | Marconnet, N. | |
| dc.date | 2006-01-05 | |
| dc.date | 2006-01-05 | |
| dc.date.accessioned | 2026-07-07T06:58:33Z | |
| dc.date.available | 2026-07-07T06:58:33Z | |
| dc.description | We classify reflexive graded right ideals, up to isomorphism and shift, of generic cubic three dimensional Artin-Schelter regular algebras. We also determine the possible Hilbert functions of these ideals. These results are obtained by using similar methods as for quadratic Artin-Schelter algebras. In particular our results apply to the enveloping algebra of the Heisenberg-Lie algebra from which we deduce a classification of right ideals of an invariant ring of the first Weyl algebra. | |
| dc.identifier | https://arxiv.org/abs/math/0601096 | |
| dc.identifier | http://arxiv.org/abs/math/0601096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107400 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 16D25; 16S38; 18E30 | |
| dc.title | Ideals of cubic algebras and an invariant ring of the Weyl algebra | |
| dc.type | text |