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arXiv · 2510.09922

Reconstruction of tensor categories of type $G_2$

Lilit Martirosyan·Hans Wenzl
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Abstract

We prove that any non-symmetric ribbon tensor category $\mathcal{C}$ with the fusion rules of the compact group of type $G_2$ needs to be equivalent to the representation category of the corresponding Drinfeld-Jimbo quantum group for $q$ not a root of unity. We also prove an analogous result for the corresponding finite fusion tensor categories.

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Lilit Martirosyan, Hans Wenzl. 2025-10-10. Reconstruction of tensor categories of type $G_2$. https://arxiv.org/abs/2510.09922

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