Canonical and Lie-algebraic twist deformations of Galilei algebra
Abstract
We describe various nonrelativistic contractions of two classes of twisted Poincare algebra: canonical one (θμ-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.
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