Levi-Civita Connections on the Quantum Groups SL_{q}(N), O_{q}(N) and Sp_{q}(N)
| dc.creator | Heckenberger, I. | |
| dc.creator | Schmuedgen, K. | |
| dc.date | 1995-12-01 | |
| dc.date | 1996-10-18 | |
| dc.date.accessioned | 2026-07-07T09:04:55Z | |
| dc.date.available | 2026-07-07T09:04:55Z | |
| dc.description | For bicovariant differential calculi on quantum groups various notions on connections and metrics (bicovariant connections, invariant metrics, the compatibility of a connection with a metric, Levi-Civita connections) are introduced and studied. It is proved that for the bicovariant differential calculi on $SL_{q}(N)$, $O_{q}(N)$ and $Sp_{q}(N)$ from the classification of Schmuedgen, K. and Schueler, A. there exist unique Levi-Civita connections. | |
| dc.description | LaTeX2E, 20 pages; extended version, will appear in CMP | |
| dc.identifier | https://arxiv.org/abs/q-alg/9512001 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9512001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149556 | |
| dc.subject | Quantum Algebra | |
| dc.title | Levi-Civita Connections on the Quantum Groups SL_{q}(N), O_{q}(N) and Sp_{q}(N) | |
| dc.type | text |