Classification of module categories for SO(3)_{2m}

Evans, David E. and Pugh, Mathew ORCID: https://orcid.org/0000-0001-9045-3713 2021. Classification of module categories for SO(3)_{2m}. Advances in Mathematics 384 , 107713. 10.1016/j.aim.2021.107713

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Abstract

The main goal of this paper is to classify ⁎-module categories for the modular tensor category. This is done by classifying nimrep graphs and cell systems, and in the process we also classify the modular invariants. There are module categories of type , and their conjugates, but there are no orbifold (or type ) module categories. We present a construction of a subfactor with principal graph given by the fusion rules of the fundamental generator of the modular category. We also introduce a Frobenius algebra A which is an generalisation of (higher) preprojective algebras, and derive a finite resolution of A as a left A-module along with its Hilbert series.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Elsevier
ISSN:	0001-8708
Date of First Compliant Deposit:	8 March 2021
Date of Acceptance:	2 March 2021
Last Modified:	09 Nov 2024 15:15
URI:	https://orca.cardiff.ac.uk/id/eprint/139373

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