Fusion rules and the Patera-Sharp generating-function method

Details Fusion rules and the Patera-Sharp generating-function method Fusion rules and the Patera-Sharp generating-function method

2002-10-18

arxiv.org/abs/hep-th/0210182v1

Physics

High Energy Physics

High Energy Physics - Theory

harvmac 15 pages. Contribution to the Proceedings of the Workshop on symmetry in physics in memory of Robert T. Sharp

Scientific paper

We review some contributions on fusion rules that were inspired by the work of Sharp, in particular, the generating-function method for tensor-product coefficients that he developed with Patera. We also review the Kac-Walton formula, the concepts of threshold level, fusion elementary couplings, fusion generating functions and fusion bases. We try to keep the presentation elementary and exemplify each concept with the simple $\su(2)_k$ case.

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