Cartan Calculus for Hopf Algebras and Quantum Groups

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dc.creatorSchupp, Peter
dc.creatorWatts, Paul
dc.creatorZumino, Bruno
dc.date1993-06-03
dc.date.accessioned2026-07-07T09:14:04Z
dc.date.available2026-07-07T09:14:04Z
dc.descriptionA generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing examples of differential geometry on quantum groups, we combine an exterior derivative, inner derivations, Lie derivatives, forms and functions all into one big algebra. In particular we find a generalized Cartan identity that holds on the whole quantum universal enveloping algebra of the left-invariant vector fields and implicit commutation relations for a left-invariant basis of 1-forms.
dc.description15 pages (submitted to Comm. Math. Phys.)
dc.identifierhttps://arxiv.org/abs/hep-th/9306022
dc.identifierhttp://arxiv.org/abs/hep-th/9306022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152544
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleCartan Calculus for Hopf Algebras and Quantum Groups
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