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arXiv · 2102.13239

On a necessary condition for unitary categorification of fusion rings

Pavel Etingof·Dmitri Nikshych·Victor Ostrik
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Abstract

In arXiv:1910.12059 Liu, Palcoux and Wu proved a remarkable necessary condition for a fusion ring to admit a unitary categorification, by constructing invariants of the fusion ring that have to be positive if it is unitarily categorifiable. The main goal of this note is to provide a somewhat more direct proof of this result. In the last subsection we discuss integrality properties of the Liu-Palcoux-Wu invariants.

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Pavel Etingof, Dmitri Nikshych, Victor Ostrik. 2023-11-02. On a necessary condition for unitary categorification of fusion rings. https://arxiv.org/abs/2102.13239

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