SU(n)-Connections and Noncommutative Differential Geometry

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dc.creatorDubois-Violette, Michel
dc.creatorMasson, Thierry
dc.date1996-12-27
dc.date.accessioned2026-07-07T09:12:57Z
dc.date.available2026-07-07T09:12:57Z
dc.descriptionWe study the noncommutative differential geometry of the algebra of endomorphisms of any SU(n)-vector bundle. We show that ordinary connections on such SU(n)-vector bundle can be interpreted in a natural way as a noncommutative 1-form on this algebra for the differential calculus based on derivations. We interpret the Lie algebra of derivations of the algebra of endomorphisms as a Lie algebroid. Then we look at noncommutative connections as generalizations of these usual connections.
dc.description20 pages, LaTeX2e (use packages amstex, amssymb, theorem, a4, pb-diagram, lamsarrow)
dc.identifierhttps://arxiv.org/abs/dg-ga/9612017
dc.identifierhttp://arxiv.org/abs/dg-ga/9612017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152196
dc.subjectDifferential Geometry
dc.titleSU(n)-Connections and Noncommutative Differential Geometry
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