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arXiv · 2005.13944

On the Galois symmetries for the character table of an integral fusion category

Sebastian Burciu
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Abstract

In this paper we show that integral fusion categories with rational structure constants admit a natural group of symmetries given by the Galois group of their character tables. We also generalize a well known result of Burnside from representation theory of finite groups. More precisely, we show that any row corresponding to a non invertible object in the character table of a weakly integral fusion category contains a zero entry.

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Sebastian Burciu. 2020-05-28. On the Galois symmetries for the character table of an integral fusion category. https://arxiv.org/abs/2005.13944

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