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.

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

References in corpus (3)

• Covariant Realization of Quantum Spaces as Star Products by Drinfeld Twists
• Noncommutative fields and actions of twisted Poincare algebra
• Lorentz-Invariant Interpretation of Noncommutative Space-Time - global version

Cited by in corpus (6)

• Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space
• Classical mechanics of many particles defined on canonically deformed nonrelativistic space-time
• Generating of additional force terms in Newton equation by twist-deformed Hopf algebras and classical symmetries
• Generalized twist deformations of Poincare and Galilei quantum groups
• Twist deformations of Newtonian Schwarzschild-(Anti-)de Sitter classical system
• The energy-momentum conservation law in two-particle system for twist-deformed Galilei Hopf algebras