Ja. Deazcarraga et F. Rodenas, DEFORMED MINKOWSKI SPACES - CLASSIFICATION AND PROPERTIES, Journal of physics. A, mathematical and general, 29(6), 1996, pp. 1215-1226
Using general but simple covariance arguments, we classify the 'quantu
m' Minkowski spaces for dimensionless deformation parameters. This req
uires a previous analysis of the associated Lorentz groups, which repr
oduces a previous classification by Woronowicz and Zakrzewski. As a co
nsequence of the unified analysis presented, we give the commutation p
roperties, the deformed (and central) length element and the metric te
nsor for the different spacetime algebras.