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arXiv · 1807.00766

Slightly degenerate categories and $\mathbb{Z}$-modular data

Abel Lacabanne
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Abstract

Given a slightly degenerate fusion category $\mathcal{C}$, we explain how it naturally gives rise to a Z-modular data. We do not restrict to spherical categories and work with pivotal categories instead. Finally, we give an interpretation in this framework of the Bonnaf\'e-Rouquier categorification of the $\mathbb{Z}$-modular datum associated to non trivial family of the cyclic complex reflection group.

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Abel Lacabanne. 2018-07-02. Slightly degenerate categories and $\mathbb{Z}$-modular data. https://doi.org/10.1093/imrn%2Frnz105

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