## The classification of categories generated by an object of small dimension

### Description

The goal of this thesis is to attempt the classification of unitary fusion categories generated by a normal object (\refi{an object comuting with its dual}{1}) of dimension less than 2. This classification has recently become accessible due to a result of Morrison and Snyder, which shows that any such category must be a cyclic extension of an adjoint subcategory of one of the $ADE$ fusion categories. Our main tool is the classification of graded categories...[Show more]

Collections Open Access Theses 2018 Thesis (PhD) http://hdl.handle.net/1885/146634 10.25911/5d650ee43fe0c