Canonical k-Minkowski Spacetime

Understand

A complete classification of the regular representations of the relations [T,X_j] = (i/k)X_j, j=1,...,d, is given.

• The quantisation of RxR^d canonically (in the sense of Weyl) associated with the universal representation of the above relations is intrinsically "radial", this meaning that it only involves the time variable and the distance from the origin; angle variables remain classical.
• The time axis through the origin is a spectral singularity of the model: in the large scale limit it is topologically disjoint from the rest.
• The symbolic calculus is developed; in particular there is a trace functional on symbols.