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arXiv · 2401.02354

Fusion Categories over Non-Algebraically Closed Fields

Sean Sanford
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Abstract

Several complications arise when attempting to work with fusion categories over arbitrary fields. Here we describe some of the new phenomena that occur when the field is not algebraically closed, and we adapt tools such as the Frobenius-Perron dimension in order to accommodate these new effects.

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Sean Sanford. 2024-01-04. Fusion Categories over Non-Algebraically Closed Fields. https://arxiv.org/abs/2401.02354

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