The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$
| dc.creator | Chryssomalakos, Chryssomalis | |
| dc.creator | Schupp, Peter | |
| dc.creator | Watts, Paul | |
| dc.date | 1993-10-15 | |
| dc.date.accessioned | 2026-07-07T04:19:45Z | |
| dc.date.available | 2026-07-07T04:19:45Z | |
| dc.description | We review the construction of the cross product algebra $\A\rtimes\U$ from two dually paired Hopf algebras $\U$ and $\A$. The canonical element in $\U \otimes \A$ is then introduced, and its properties examined. We find that it is useful for giving coactions on $\A\rtimes\U$, and it allows the construction of objects with specific invariance properties under these coactions. A ``vacuum operator'' is found which projects elements of $\A\rtimes\U$ onto said objects. We then discuss bicovariant vector fields in the context of the canonical element. | |
| dc.description | 13 pages, LBL-33274 and UCB-PTH-92/42 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9310100 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9310100 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53690 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$ | |
| dc.type | text |