Tensor categories attached to double groupoids |
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| Authors: | Nicols Andruskiewitsch Sonia Natale |
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| Institution: | Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, CIEM – CONICET, (5000) Ciudad Universitaria, Córdoba, Argentina |
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| Abstract: | The construction of a quantum groupoid out of a double groupoid satisfying a filling condition and a perturbation datum is given. Several important classes of examples of tensor categories are shown to fit into this construction. Certain invariants such as a pivotal group-like element and quantum and Frobenius–Perron dimensions of simple objects are computed. |
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| Keywords: | Weak Hopfalgebra Double groupoid Tensor category |
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