Crossed modules and quantum groups in braided categories I
| dc.creator | Bespalov, Yuri | |
| dc.date | 1994-08-18 | |
| dc.date.accessioned | 2026-07-07T09:14:22Z | |
| dc.date.available | 2026-07-07T09:14:22Z | |
| dc.description | Let $H$ be a Hopf algebra in braided category $\cal C$. Crossed modules over $H$ are objects with both module and comodule structures satisfying some comatibility condition. Category ${\cal C}^H_H$ of crossed modules is braided and is concrete realization of general categorical construction. For quantum braided group $(H,{\cal R})$ corresponding braided category ${\cal C}^{\cal R}_H$ of modules is identifyed with full subcategory in ${\cal C}_H^H$. Connection with crossproducts is discussed. Correct cross product in the class of quantum braided groups is built. Radford's--Majid's theorem gives equivalent condition for usual Hopf algebra to be crossproduct. Braided variant and analog of this theorem for quantum braided qroups are obtained. | |
| dc.description | 39 pages, 20 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9408102 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9408102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152647 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Crossed modules and quantum groups in braided categories I | |
| dc.type | text |