Non-commutative connections of the second kind

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dc.creatorBrzezinski, Tomasz
dc.date2008-02-04
dc.date.accessioned2026-07-07T09:18:37Z
dc.date.available2026-07-07T09:18:37Z
dc.descriptionA connection-like objects, termed {\em hom-connections} are defined in the realm of non-commutative geometry. The definition is based on the use of homomorphisms rather than tensor products. It is shown that hom-connections arise naturally from (strong) connections in non-commutative principal bundles. The induction procedure of hom-connections via a map of differential graded algebras or a differentiable bimodule is described. The curvature for a hom-connection is defined, and it is shown that flat hom-connections give rise to a chain complex.
dc.description13 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/0802.0445
dc.identifierhttp://arxiv.org/abs/0802.0445
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154090
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.titleNon-commutative connections of the second kind
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