Journal of Applied Mathematics 
Volume 2 (2002), Issue 7, Pages 315-335
doi:10.1155/S1110757X0211103X

The quantum spheres and their embedding into quantum Minkowski space-time

M. Lagraa1,2

 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

Abstract

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 SOq(3) group leads to a decomposition of the transformed Hilbert space states in terms of orthogonal subspaces exhibiting the periodicity of the quantum sphere states.