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arXiv · 1904.02226

Conjugacy classes and centralizers for pivotal fusion categories

Sebastian Burciu
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Abstract

A criterion for M\"uger centralizer of a fusion subcategory of a braided non-degenerate fusion category is given. Along the way we extend some identities on the space of class functions of a fusion category introduced by Shimizu in \cite{scalg}. We also show that in a modular tensor category the product of two conjugacy class sums is a linear combination of conjugacy class sums with rational coefficients.

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Sebastian Burciu. 2019-04-03. Conjugacy classes and centralizers for pivotal fusion categories. https://arxiv.org/abs/1904.02226

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