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The classification of categories generated by an object of small dimension

Edie-Michell, Cain

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]

CollectionsOpen Access Theses
Date published: 2018
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/146634

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