dorsal/arxiv
View SchemaConnections on central bimodules
| Authors | Michel Dubois-Violette, Peter W. Michor |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9503020 |
| URL | https://arxiv.org/abs/q-alg/9503020 |
| DOI | 10.1016/0393-0440(95)00057-7 |
| Journal | J. Geom. Physics, 20 (1996), 218-232 |
Abstract
We define and study the theory of derivation-based connections on a recently introduced class of bimodules over an algebra which reduces to the category of modules whenever the algebra is commutative. This theory contains, in particular, a noncommutative generalization of linear connections. We also discuss the different noncommutative versions of differential forms based on derivations. Then we investigate reality conditions and a noncommutative generalization of pseudo-riemannian structures.
{
"annotation_id": "5f8dc55b-9912-4eb2-9e64-a5d24a650f47",
"date_created": "2026-03-02T18:01:24.722000Z",
"date_modified": "2026-03-02T18:01:24.722000Z",
"file_hash": "aa5ed4bb77c9a563ed7217bbf357cf12c71724eaaac30af8f7c4b200aa1c56e0",
"private": false,
"record": {
"abstract": "We define and study the theory of derivation-based connections on a recently\nintroduced class of bimodules over an algebra which reduces to the category of\nmodules whenever the algebra is commutative. This theory contains, in\nparticular, a noncommutative generalization of linear connections. We also\ndiscuss the different noncommutative versions of differential forms based on\nderivations. Then we investigate reality conditions and a noncommutative\ngeneralization of pseudo-riemannian structures.",
"arxiv_id": "q-alg/9503020",
"authors": [
"Michel Dubois-Violette",
"Peter W. Michor"
],
"categories": [
"q-alg",
"dg-ga",
"math.DG",
"math.QA"
],
"doi": "10.1016/0393-0440(95)00057-7",
"journal_ref": "J. Geom. Physics, 20 (1996), 218-232",
"title": "Connections on central bimodules",
"url": "https://arxiv.org/abs/q-alg/9503020"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d2675792-eece-4319-a966-8cefc5ab8ea0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}