A 6-term left exact sequence is established between Galois cohomology of the base field and the Brauer-Picard groupoid of a fusion category, generalizing earlier results to non-algebraically closed fields.
Tambara-yamagami categories over the reals: The non-split case.arXiv preprint [math.QA], arXiv:2303.17843
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Putting the Brauer back in Brauer-Picard
A 6-term left exact sequence is established between Galois cohomology of the base field and the Brauer-Picard groupoid of a fusion category, generalizing earlier results to non-algebraically closed fields.