Cohomological properties of the quantum shuffle product and application to the construction of quasi-Hopf algebras
| dc.creator | Ospel, Cyrille | |
| dc.date | 2001-12-13 | |
| dc.date.accessioned | 2026-07-07T04:45:15Z | |
| dc.date.available | 2026-07-07T04:45:15Z | |
| dc.description | For a commutative algebra the shuffle product is a morphism of complexes. We generalize this result to the quantum shuffle product, associated to a class of non-commutative algebras (for example all the Hopf algebras). As a first application we show that the Hochschild-Serre identity is the dual statement of our result. In particular, we extend this identity to Hopf algebras. Secondly, we clarify the construction of a class of quasi-Hopf algebras. | |
| dc.description | 23 pages, 7 Postscript figures (uses epsfig.sty) | |
| dc.identifier | https://arxiv.org/abs/math/0112141 | |
| dc.identifier | http://arxiv.org/abs/math/0112141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62887 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 (Primary) 17B37 (Secondary) | |
| dc.title | Cohomological properties of the quantum shuffle product and application to the construction of quasi-Hopf algebras | |
| dc.type | text |