Henry J. Tucker (University of California, Riverside, Estados Unidos)

Jueves 8 de agosto 14.30hs. Aula 27.

Near-group fusion categories are those with only one non-invertible object. Non-commutative near-group fusion categories (those with non-abelian group of invertible objects) were completely classified by Izumi using an operator algebraic method (and hence under the assumption of unitarity). They were shown to be group theoretical, i.e. categorically Morita equivalent to pointed fusion categories, though the corresponding pointed categories were not identified. We now give purely algebraic construction of the noncommutative near-group categories starting from pointed fusion categories. This work is joint with Izumi.