Quantum spin coverings and statistics
量子代数
2012-04-19 v2 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0208088,
title = {Quantum spin coverings and statistics},
author = {Ludwik Dabrowski and Cesare Reina},
journal= {arXiv preprint arXiv:math/0208088},
year = {2012}
}
备注
15 pages