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An algebra related to the fusion rules of Wess-Zumino-Witten models - MaRDI portal

An algebra related to the fusion rules of Wess-Zumino-Witten models (Q1181260)

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scientific article; zbMATH DE number 28060
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An algebra related to the fusion rules of Wess-Zumino-Witten models
scientific article; zbMATH DE number 28060

    Statements

    An algebra related to the fusion rules of Wess-Zumino-Witten models (English)
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    27 June 1992
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    The author introduces a new algebra which, in addition, is almost a bialgebra; the category of its representations admits a ``truncated'' tensor product. The main result states that the fusion rules (i.e., decompositon of the truncated tensor product in irreducible components) of a family of representations obey the same law as the WZW-model.
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    quantum groups
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    fusion rules
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    WZW-model
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    irreducible representations
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    branching rules
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