On algebraic torsion forms and their spin holonomy algebras

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dc.creatorBernhardt, Niels
dc.creatorNagy, Paul-Andi
dc.date2006-08-21
dc.date.accessioned2026-07-07T07:21:58Z
dc.date.available2026-07-07T07:21:58Z
dc.descriptionWe study holonomy algebras generated by an algebraic element of the Clifford algebra, or equivalently, the holonomy algebras of certain spin connections in flat space. We provide series of examples in arbitrary dimensions and establish general properties of the holonomy algebras under some mild conditions on the generating element. We show that the first non-standard situation to look at appears in dimension 8 and concerns self-dual 4-forms. In this case complete structure results are obtained.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0608509
dc.identifierhttp://arxiv.org/abs/math/0608509
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115494
dc.subjectDifferential Geometry
dc.subject53C10, 53C27, 53C29
dc.titleOn algebraic torsion forms and their spin holonomy algebras
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