Some Remarks on Braided Group Reconstruction and Braided Doubles
| dc.creator | Majid, S. | |
| dc.date | 1998-10-06 | |
| dc.date.accessioned | 2026-07-07T05:26:20Z | |
| dc.date.available | 2026-07-07T05:26:20Z | |
| dc.description | The cross coproduct braided group $Aut(C) \rcocross B$ is obtained by Tannaka-Krein reconstruction from $C^B\to C$ for a braided group $B$ in braided category $C$. We apply this construction to obtain partial solutions to two problems in braided group theory, namely the tensor problem and the braided double. We obtain $Aut(C)\rcocross Aut(C)\isom Aut(C)\lcross Aut(C)$ and higher braided group `spin chains'. The example of the braided group $B(R)\lcross B(R)\lcross...\lcross B(R)$ is described explicitly by R-matrix relations. We also obtain $Aut(C)\rcocross Aut(C)^*$ as a dual quasitriangular `codouble' braided group by reconstruction from the dual category $C^\circ\to C$. General braided double crossproducts $B\dcross C$ are also considered. | |
| dc.description | Latex 12 pages + epsf figures | |
| dc.identifier | https://arxiv.org/abs/math/9810038 | |
| dc.identifier | http://arxiv.org/abs/math/9810038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77513 | |
| dc.subject | Quantum Algebra | |
| dc.title | Some Remarks on Braided Group Reconstruction and Braided Doubles | |
| dc.type | text |