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Computing Modular Data for Drinfeld Centers of Pointed Fusion Categories

Gruen, Angus

Description

A theoretical background is developed to explain in detail the link between the modular tensor category Z(Vec!G) and the representation category of a quasitriangular quasi Hopf algebra D! G. Using this link, a classification of the simple objects in Z(Vec!G) and formulas for the modular data of Z(Vec!G) are carefully derived. Then, code is written in GAP to produce the modular data of Z(Vec!G), given ! and G. This is used to create a database of modular data for the Drinfeld doubles of pointed...[Show more]

CollectionsOpen Access Theses
Date published: 2017
Type: Thesis (Honours)
URI: http://hdl.handle.net/1885/173646
DOI: 10.25911/5d9efbb228e2e

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