The Mathematical Footing of Non-associative Geometry

dc.creatorWulkenhaar, Raimar
dc.date1996-07-12
dc.date1996-10-29
dc.date.accessioned2026-07-07T09:04:24Z
dc.date.available2026-07-07T09:04:24Z
dc.descriptionStarting with a Hilbert space endowed with a representation of a unitary Lie algebra and an action of a generalized Dirac operator, we develop a mathematical concept towards gauge field theories. This concept shares common features with the non--commutative geometry a la Connes/Lott, differs from that, however, by the implementation of unitary Lie algebras instead of associative *-algebras. The general scheme is presented in detail and is applied to functions $\otimes$ matrices.
dc.description39 pages, LaTeX2e + AMS macros, revised version: modified definition of an ideal, because the old definition leads to a vanishing Higgs potential in the standard model (hep-th/9607096)
dc.identifierhttps://arxiv.org/abs/hep-th/9607094
dc.identifierhttp://arxiv.org/abs/hep-th/9607094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149365
dc.subjectHigh Energy Physics - Theory
dc.titleThe Mathematical Footing of Non-associative Geometry
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