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math.QA2023★ 1 cited
Burnside type results for fusion categories
Sebastian Burciu, Sebastien Palcoux
In this paper, we extend a classical vanishing result of Burnside from the character tables of finite groups to the character tables of commutative fusion rings, or more generally…
math.QA2023
Classification of integral modular data up to rank 13
Max A. Alekseyev, Winfried Bruns, Sebastien Palcoux +1
This paper classifies the modular data of integral modular fusion categories up to rank 13, and integral half-Frobenius fusion rings up to rank 12. We establish that every perfect…