dorsal/arxiv
View SchemaDifferential calculi on noncommutative bundles
| Authors | Markus J. Pflaum, Peter Schauenburg |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9612030 |
| URL | https://arxiv.org/abs/q-alg/9612030 |
Abstract
We introduce a category of noncommutative bundles. To establish geometry in this category we construct suitable noncommutative differential calculi on these bundles and study their basic properties. Furthermore we define the notion of a connection with respect to a differential calculus and consider questions of existence and uniqueness. At the end these constructions are applied to basic examples of noncommutative bundles over a coquasitriangular Hopf algebra.
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"abstract": "We introduce a category of noncommutative bundles. To establish geometry in\nthis category we construct suitable noncommutative differential calculi on\nthese bundles and study their basic properties. Furthermore we define the\nnotion of a connection with respect to a differential calculus and consider\nquestions of existence and uniqueness. At the end these constructions are\napplied to basic examples of noncommutative bundles over a coquasitriangular\nHopf algebra.",
"arxiv_id": "q-alg/9612030",
"authors": [
"Markus J. Pflaum",
"Peter Schauenburg"
],
"categories": [
"q-alg",
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],
"title": "Differential calculi on noncommutative bundles",
"url": "https://arxiv.org/abs/q-alg/9612030"
},
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