Quantum spin coverings and statistics

Details Quantum spin coverings and statistics Quantum spin coverings and statistics

2002-08-12

arxiv.org/abs/math/0208088v2

J. Phys. A 36 3829-3840, 2003

Mathematics

Quantum Algebra

15 pages

Scientific paper

10.1088/0305-4470/36/13/314

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.

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