Star Product and Invariant Integration for Lie type Noncommutative Spacetimes

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dc.creatorChryssomalakos, Chryssomalis
dc.creatorOkon, Elias
dc.date2007-05-25
dc.date.accessioned2026-07-07T13:04:23Z
dc.date.available2026-07-07T13:04:23Z
dc.descriptionWe present a star product for noncommutative spaces of Lie type, including the so called ``canonical'' case by introducing a central generator, which is compatible with translations and admits a simple, manageable definition of an invariant integral. A quasi-cyclicity property for the latter is shown to hold, which reduces to exact cyclicity when the adjoint representation of the underlying Lie algebra is traceless. Several explicit examples illuminate the formalism, dealing with kappa-Minkowski spacetime and the Heisenberg algebra (``canonical'' noncommutative 2-plane).
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0705.3780
dc.identifierhttp://arxiv.org/abs/0705.3780
dc.identifierJHEP 0708:012,2007
dc.identifierdoi:10.1088/1126-6708/2007/08/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227144
dc.subjectHigh Energy Physics - Theory
dc.titleStar Product and Invariant Integration for Lie type Noncommutative Spacetimes
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