Quantum groups and ribbon G-categories
| dc.creator | Le, Thang | |
| dc.creator | Turaev, Vladimir | |
| dc.date | 2001-03-03 | |
| dc.date.accessioned | 2026-07-07T04:40:28Z | |
| dc.date.available | 2026-07-07T04:40:28Z | |
| dc.description | For a group G, the notion of a ribbon G-category was introduced by the second author in a previous work with a view towards constructing 3-dimensional homotopy quantum field theories (HQFT's) with target K(G,1). We discuss here how to derive ribbon G-categories from a simple complex Lie algebra g where G is the center of g. The construction is based on a study of representations of the quantum group $U_q(g)$ at a root of unity. Under certain assumptions on the root of unity, the resulting G-categories give rise to numerical invariants of pairs (a closed oriented 3-manifold M, an element of $H^1(M;G)$) and to 3-dimensional HQFT's. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0103017 | |
| dc.identifier | http://arxiv.org/abs/math/0103017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61038 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M10; 57M25 | |
| dc.title | Quantum groups and ribbon G-categories | |
| dc.type | text |