Deformed Minkowski spaces: clasification and properties

Abstract

Using general but simple covariance arguments, we classify the `quantum' Minkowski spaces for dimensionless deformation parameters. This requires a previous analysis of the associated Lorentz groups, which reproduces a previous classification by Woronowicz and Zakrzewski. As a consequence of the unified analysis presented, we give the commutation properties, the deformed (and central) length element and the metric tensor for the different spacetime algebras.

Some comments/misprints have been added/corrected, to appear in Journal of Physics A (1996)

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Cited by in corpus (4)

• Relativistic and Newtonian kappa spacetimes
• k-deformed Poincare algebras and quantum Clifford-Hopf algebras
• On the Absence of Continuous Symmetries for Noncommutative 3-Spheres
• dS-AdS structures in the non-commutative Minkowski spaces