Realization of q-deformed spacetime as star product by a Drinfeld twist

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dc.creatorBlohmann, Christian
dc.date2004-02-12
dc.date.accessioned2026-07-07T05:05:24Z
dc.date.available2026-07-07T05:05:24Z
dc.descriptionCovariance ties the noncommutative deformation of a space into a quantum space closely to the deformation of the symmetry into a quantum symmetry. Quantum deformations of enveloping algebras are governed by Drinfeld twists, inner automorphisms which relate the deformed to the undeformed coproduct. While Drinfeld twists naturally define a covariant star product on the space algebra, this product is in general not associative and does not yield a quantum space. It is reported that, nevertheless, there are certain Drinfeld twists which realize the quantum plane, quantum Euclidean 4-space, and quantum Minkowski space.
dc.description4 pages; LaTeX (uses iopart class); to appear in the proceedings of Group24 (Paris, 2002)
dc.identifierhttps://arxiv.org/abs/math/0402199
dc.identifierhttp://arxiv.org/abs/math/0402199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70149
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subject81R60; 17B37
dc.titleRealization of q-deformed spacetime as star product by a Drinfeld twist
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