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Braid group and quantum group of \(Z(N)\) model - MaRDI portal

Braid group and quantum group of \(Z(N)\) model (Q687927)

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scientific article; zbMATH DE number 436773
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Braid group and quantum group of \(Z(N)\) model
scientific article; zbMATH DE number 436773

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    Braid group and quantum group of \(Z(N)\) model (English)
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    28 August 1994
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    The authors introduce a discrete parameter \(\omega\) with \(\omega^ N=1\) into the solution \(S\) of the braid group associated with the \(Z(N)\)- model, and discuss its quantum group structure. They point out that the parameter \(\omega\) plays the role of \(q\)-deformation at a root of unity in comparison with the usual quantum group theory.
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    Weyl relation
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    braid group
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    \(Z(N)\)-model
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    quantum group
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