Geodesic
The quantum symmetry of rational field theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 3, pp. 388-403

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The quantum symmetry of a rational quantum field theory is a finite-dimensional multi-matrix algebra. Its representation category, which determines the fusion rules and braid group representations of superselection sectors, is a braided monoidal $C^*$-category. Various properties of such algebraic structures are described, and some ideas concerning the classification programme are outlined. 
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     author = {J. Fuchs},
     title = {The quantum symmetry of rational field theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_98_3_a8/}
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J. Fuchs. The quantum symmetry of rational field theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 3, pp. 388-403. http://geodesic.mathdoc.fr/item/TMF_1994_98_3_a8/