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    Clebsch–Gordan and 6 j -coefficients for rank 2 quantum groups


    Ardonne, Eddy and Slingerland, Joost (2010) Clebsch–Gordan and 6 j -coefficients for rank 2 quantum groups. Journal of Physics A: Mathematical and Theoretical, 43. p. 395205. ISSN 1751-8121

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    Abstract

    We calculate ( q -deformed) Clebsch–Gordan and 6 j -coefficients for rank 2 quantum groups. We explain in detail how such calculations are done, which should allow the reader to perform similar calculations in other cases. Moreover, we tabulate the q -Clebsch–Gordan and 6 j -coefficients explicitly, as well as some other topological data associated with theories corresponding to rank 2 quantum groups. Finally, we collect some useful properties of the fusion rules of particular conformal field theories.

    Item Type: Article
    Keywords: Clebsch–Gordan; quantum groups;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 4799
    Depositing User: Dr. Joost Slingerland
    Date Deposited: 05 Mar 2014 17:28
    Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
    Publisher: Institute of Physics Publishing Ltd
    Refereed: Yes
    URI:

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