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The Brauer–Picard groups of fusion categories coming from the <i>ADE</i> subfactors

The Brauer–Picard groups of fusion categories coming from the <i>ADE</i> subfactors

We compute the group of Morita auto-equivalences of the even parts of the [Formula: see text] subfactors, and Galois conjugates. To achieve this, we study the braided auto-equivalences of the Drinfeld centers of these categories. We give planar algebra presentations for each of these Drinfeld centers, which we leverage to …