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Fusion rules and the Patera-Sharp generating-function method

2002/10/18 by Luc Bégin, L. Begin, C. Cummins +9
Business, Management and Accounting · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Optics and Image Analysis #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0210182

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

arxiv created 2002/10/18 · openalex publication_date 2002/10/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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