The Drinfeld associator of gl(1|1)
| dc.creator | Lieberum, Jens | |
| dc.date | 2002-04-30 | |
| dc.date.accessioned | 2026-07-07T04:48:08Z | |
| dc.date.available | 2026-07-07T04:48:08Z | |
| dc.description | We determine explicitly a rational even Drinfeld associator Q in a completion of the universal enveloping algebra of the Lie superalgebra gl(1|1)^3. More generally, we define a new algebra of trivalent diagrams that has a unique even horizontal group-like Drinfeld associator P. The associator P is mapped to Q by a weight system. As a result of independent interest, we show how O. Viro's generalization Delta^1 of the multi-variable Alexander polynomial can be obtained from the universal Vassiliev invariant of trivalent graphs. We determine P by using the invariant Delta^1(T) of a planar tetrahedron T. | |
| dc.description | 45 pages, many figures | |
| dc.identifier | https://arxiv.org/abs/math/0204346 | |
| dc.identifier | http://arxiv.org/abs/math/0204346 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63935 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37, 57M27 | |
| dc.title | The Drinfeld associator of gl(1|1) | |
| dc.type | text |