dorsal/arxiv
View SchemaLevi-Civita Connections on the Quantum Groups SL_{q}(N), O_{q}(N) and Sp_{q}(N)
| Authors | I. Heckenberger, K. Schmuedgen |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9512001 |
| URL | https://arxiv.org/abs/q-alg/9512001 |
Abstract
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.
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"abstract": "For bicovariant differential calculi on quantum groups various notions on\nconnections and metrics (bicovariant connections, invariant metrics, the\ncompatibility of a connection with a metric, Levi-Civita connections) are\nintroduced and studied. It is proved that for the bicovariant differential\ncalculi on $SL_{q}(N)$, $O_{q}(N)$ and $Sp_{q}(N)$ from the classification of\nSchmuedgen, K. and Schueler, A. there exist unique Levi-Civita connections.",
"arxiv_id": "q-alg/9512001",
"authors": [
"I. Heckenberger",
"K. Schmuedgen"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Levi-Civita Connections on the Quantum Groups SL_{q}(N), O_{q}(N) and Sp_{q}(N)",
"url": "https://arxiv.org/abs/q-alg/9512001"
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