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

In this article we study the possible Morita equivalence classes of algebras in three families of fusion categories (pointed, near-group and (A1,l)12) by studying the Non-negative Integer Matrix representations (NIM-reps) of their underlying fusion ring, and compare these results with existing class...

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Bibliographic Details
Main Authors: Samuel Hannah, Ana Ros Camacho
Format: Article
Language:English
Published: Elsevier 2024-05-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321324000919