Canonical and Lie-algebraic twist deformations of Galilei algebra

Abstract

We describe various nonrelativistic contractions of two classes of twisted Poincare algebra: canonical one (${\theta }_{\mu \nu }$-deformation) and the one leading to Lie-algebraic models of noncommutative space-times. The cases of contraction-independent and contraction-dependent twist parameters are considered. We obtain five models of noncommutative nonrelativistic space-times, in particular, two new Lie-algebraic nonrelativistic deformations of space-time, respectively, with quantum time/classical space and with quantum space/classical time.

arXiv comment14 pages, no figures, v2: the page numbers for all references in preprint version are provided; one reference is added (as in journal version)

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Cited by in corpus (18)

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• Generalized twist deformations of Poincare and Galilei quantum groups
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