From Quantum Planes to Quantum Groups and back; Cartan Calculus

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dc.creatorSchupp, Peter
dc.date1993-12-10
dc.date.accessioned2026-07-07T09:14:10Z
dc.date.available2026-07-07T09:14:10Z
dc.descriptionA Cartan Calculus of Lie derivatives, differential forms, and inner derivations, based on an undeformed Cartan identity, is constructed. We attempt a classification of various types of quantum Lie algebras and present a fairly general example for their construction, utilizing pure braid methods, proving orthogonality of the adjoint representation and giving a (Killing) metric and the quadratic casimir. A reformulation of the Cartan calculus as a braided algebra and its extension to quantum planes, directly and induced from the group calculus, are provided.
dc.description49 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9312076
dc.identifierhttp://arxiv.org/abs/hep-th/9312076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152579
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleFrom Quantum Planes to Quantum Groups and back; Cartan Calculus
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