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On weakly group-theoretical non-degenerate braided fusion categories

On weakly group-theoretical non-degenerate braided fusion categories

We show that the Witt class of a weakly group-theoretical non-degenerate braided fusion category belongs to the subgroup generated by classes of non-degenerate pointed braided fusion categories and Ising braided categories. This applies in particular to solvable non-degenerate braided fusion categories. We also give some sufficient conditions for a braided …