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arXiv · 1703.06543

Autoequivalences of tensor categories attached to quantum groups at roots of $1$

Alexei Davydov·Pavel Etingof·Dmitri Nikshych
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Abstract

We compute the group of braided tensor autoequivalences and the Brauer-Picard group of the representation category of the small quantum group $\mathfrak{u}_q(\mathfrak{g})$, where $q$ is a root of unity.

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Alexei Davydov, Pavel Etingof, Dmitri Nikshych. 2017-03-20. Autoequivalences of tensor categories attached to quantum groups at roots of $1$. https://arxiv.org/abs/1703.06543

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