Journal of Applied Mathematics

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

M. Lagraa

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2, Number 7 (2002), 315-335.

Dates
First available in Project Euclid: 30 March 2003

Permanent link to this document
https://projecteuclid.org/euclid.jam/1049074867

Digital Object Identifier
doi:10.1155/S1110757X0211103X

Mathematical Reviews number (MathSciNet)
MR1942026

Zentralblatt MATH identifier
1014.83025

Subjects
Primary: 16W30 22E43: Structure and representation of the Lorentz group
Secondary: 20G45: Applications to physics 81R05: Finite-dimensional groups and algebras motivated by physics and their representations [See also 20C35, 22E70]

Citation

Lagraa, M. The quantum spheres and their embedding into quantum Minkowski space-time. J. Appl. Math. 2 (2002), no. 7, 315--335. doi:10.1155/S1110757X0211103X. https://projecteuclid.org/euclid.jam/1049074867


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