Article ID Journal Published Year Pages File Type
4668402 Advances in Mathematics 2006 45 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)