General Spinor Structures on Quantum Spaces

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dc.creatorDurdevich, Micho
dc.date2000-04-24
dc.date.accessioned2026-07-07T04:34:50Z
dc.date.available2026-07-07T04:34:50Z
dc.descriptionA general theory of quantum spinor structures on quantum spaces is presented, within the conceptual framework of the formalism of quantum principal bundles. Quantum analogs of all basic objects of the classical theory are constructed and analyzed. This includes Laplace and Dirac operators, quantum versions of Clifford and spinor bundles, a Hodge *-operator, appropriate integration operators, and mutual relations of these objects. We also present a self-contained formalism of braided Clifford algebras. Quantum phenomena appearing in the theory are discussed, including a very interesting example of the Dirac operator associated to a quantum Hopf fibration.
dc.description40 pages, AMSLaTeX; Visit http://www.matem.unam.mx/~micho for the latest versions of this and related author's papers
dc.identifierhttps://arxiv.org/abs/math/0004143
dc.identifierhttp://arxiv.org/abs/math/0004143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59060
dc.subjectQuantum Algebra
dc.subjectDifferential Geometry
dc.subjectQuantum Physics
dc.titleGeneral Spinor Structures on Quantum Spaces
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