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Tensor categories attached to double groupoids

Nicolás Andruskiewitsch·Sonia Natale
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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. This extends previous work that appeared in math.QA/0308228. 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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BibTeXRIS

Nicolás Andruskiewitsch, Sonia Natale. 2005-03-03. Tensor categories attached to double groupoids. https://arxiv.org/abs/math/0408045

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