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THE CLASSIFICATION OF CATEGORIES GENERATED BY AN OBJECT OF SMALL DIMENSION

Part of: Categories with structure

Published online by Cambridge University Press:  11 April 2019

CAIN EDIE-MICHELL Open the ORCID record for CAIN EDIE-MICHELL [Opens in a new window]
CAIN EDIE-MICHELL*
Affiliation:
Department of Mathematics, Vanderbilt University, Nashville, TN, USA email [email protected]
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Abstract

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Keywords

fusion categoriesclassificationquantum algebra

MSC classification

Primary: 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 99 , Issue 3 , June 2019 , pp. 521 - 522
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

Footnotes

Thesis submitted to the Australian National University in April 2018; degree approved on 23 August 2018; supervisor Scott Morrison.

References

Edie-Michell, C., ‘The Brauer–Picard groups of fusion categories coming from the ADE subfactors’, Internat. J. Math. 29(5) (2018), Article ID 1850036, 43 pages.Google Scholar
Edie-Michell, C., ‘Classifying fusion categories $\otimes$ -generated by an object of small Frobenius–Perron dimension’, Preprint, 2018, arXiv:1810.05717.Google Scholar