Quantum double construction for subfactors arising from periodic commuting squares (Q1975897)
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scientific article; zbMATH DE number 1439297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantum double construction for subfactors arising from periodic commuting squares |
scientific article; zbMATH DE number 1439297 |
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Quantum double construction for subfactors arising from periodic commuting squares (English)
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29 July 2000
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This paper contributes to Ocneanu's paragroup theory, and in particular, its asymptotic inclusion for a factor inclusion [see \textit{D. E. Evans} and \textit{Y. Kawahigashi}, Int. J. Math. 6, No. 4, 537-558 (1995; Zbl 0844.57014)]. The author works with a finite fusion algebra with quantum \(6j\)-symbols satisfying unitarity, tetrahedral symmetry, and the pentagon equation. By generalizing the method of J. Erlijman, the author constructs a subfactor, which coincides with Ocneanu's asymptotic inclusion for the subfactor generated by the original periodic commuting square.
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Ocneanu's paragroup theory
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asymptotic inclusion
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factor inclusion
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finite fusion algebra
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quantum \(6j\)-symbols
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unitarity, tetrahedral symmetry
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pentagon equation
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periodic commuting square
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0.8057366609573364
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