Detecting algebra objects from NIM-reps in pointed, near-group and quantum group-like fusion categories

Hannah, Samuel, Ros Camacho, Ana ORCID: https://orcid.org/0000-0001-9947-203X and Young, Devi 2024. Detecting algebra objects from NIM-reps in pointed, near-group and quantum group-like fusion categories. Nuclear Physics B 1002 , 116525. 10.1016/j.nuclphysb.2024.116525

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Abstract

In this article we study the possible Morita equivalence classes of algebras in three families of fusion categories (pointed, near-group and ) by studying the Non-negative Integer Matrix representations (NIM-reps) of their underlying fusion ring, and compare these results with existing classification results of algebra objects. Also, in an appendix we include a test of the exponents conjecture for modular tensor categories of rank up to 4.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Elsevier
ISSN:	0550-3213
Date of First Compliant Deposit:	20 March 2024
Date of Acceptance:	19 March 2024
Last Modified:	07 May 2024 14:50
URI:	https://orca.cardiff.ac.uk/id/eprint/167387

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