Quantum spin coverings and statistics
Quantum Algebra
2012-04-19 v2 Mathematical Physics
math.MP
Abstract
SL_q(2) at odd roots of unity q^l =1 is studied as a quantum cover of the complex rotation group SO(3,C), in terms of the associated Hopf algebras of (quantum) polynomial functions. We work out the irreducible corepresentations, the decomposition of their tensor products and a coquasitriangular structure, with the associated braiding (or statistics). As an example, the case l=3 is discussed in detail.
Cite
@article{arxiv.math/0208088,
title = {Quantum spin coverings and statistics},
author = {Ludwik Dabrowski and Cesare Reina},
journal= {arXiv preprint arXiv:math/0208088},
year = {2012}
}
Comments
15 pages