Year: 2003
Type: article
Abstract: SL q (2) at primitive odd roots of unity q ℓ = 1 is studied as a quantum cover of the complex rotation group SO (3, ), 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.
Authors: Ludwik Dabrowski, Cesare Reina
Institution: Scuola Internazionale Superiore di Studi Avanzati
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1964614952