Geometrical techniques for the N-dimensional Quantum Euclidean Spaces

Simple item page
dc.creatorCerchiai, B. L.
dc.creatorFiore, G.
dc.creatorMadore, J.
dc.date2000-02-25
dc.date.accessioned2026-07-07T04:34:04Z
dc.date.available2026-07-07T04:34:04Z
dc.descriptionWe briefly report our application of a version of noncommutative geometry to the quantum Euclidean space $R^N_q$, for any $N \ge 3$; this space is covariant under the action of the quantum group $SO_q(N)$, and two covariant differential calculi are known on it. More precisely, we describe how to construct in a Cartan `moving-frame formalism' the metric, two covariant derivatives, the Dirac operator, the frame, the inner derivations dual to the frame elements, for both of these calculi. The components of the frame elements in the basis of differentials provide a `local realization' of the Faddeev-Reshetikhin-Takhtadjan generators of $U_q^{\pm}(so(N))$.
dc.descriptionlatex, 11 pages, talk given at the VI Wigner Symposium
dc.identifierhttps://arxiv.org/abs/math/0002215
dc.identifierhttp://arxiv.org/abs/math/0002215
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58760
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject81R50; 17B37
dc.titleGeometrical techniques for the N-dimensional Quantum Euclidean Spaces
dc.typetext

Files

Collections

arXiv