Journal of Applied Mathematics
Volume 2 (2002), Issue 7, Pages 315-335
The quantum spheres and their embedding into quantum Minkowski space-time
1Laboratoire de Physique Théorique, Université d'Oran Es-Sénia, 31100, Algeria
2Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
Received 3 November 2001; Revised 12 April 2002
Copyright © 2002 M. Lagraa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We recast the Podleś spheres in the noncommutative physics context by showing that they can be regarded as slices along the time coordinate of the different regions of the quantum Minkowski space-time. The investigation of the transformations of the quantum sphere states under the left coaction of the
group leads to a decomposition of the transformed Hilbert space states in terms of orthogonal subspaces exhibiting the periodicity of the quantum sphere states.