PBW-deformation theory and regular central extensions
| dc.creator | Cassidy, Thomas | |
| dc.creator | Shelton, Brad | |
| dc.date | 2006-03-15 | |
| dc.date | 2006-03-27 | |
| dc.date.accessioned | 2026-07-07T07:06:56Z | |
| dc.date.available | 2026-07-07T07:06:56Z | |
| dc.description | A deformation $U$, of a graded $K$-algebra $A$ is said to be of PBW type if $grU$ is $A$. It has been shown for Koszul and $N$-Koszul algebras that the deformation is PBW if and only if the relations of $U$ satisfy a Jacobi type condition. In particular, for these algebras the determination of the PBW property is a {\it finite} and explicitly determined linear algebra problem. We extend these results to an arbitrary graded $K$-algebra, using the notion of central extensions of algebras and a homological constant attached to $A$ which we call the {\it complexity} of $A$. | |
| dc.identifier | https://arxiv.org/abs/math/0603375 | |
| dc.identifier | http://arxiv.org/abs/math/0603375 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110209 | |
| dc.subject | Rings and Algebras | |
| dc.title | PBW-deformation theory and regular central extensions | |
| dc.type | text |