# A Jordan–Hölder theorem for weakly group-theoretical fusion categories

@article{Natale2015AJT, title={A Jordan–H{\"o}lder theorem for weakly group-theoretical fusion categories}, author={Sonia Natale}, journal={Mathematische Zeitschrift}, year={2015}, volume={283}, pages={367-379} }

We prove a version of the Jordan–Hölder theorem in the context of weakly group-theoretical fusion categories. This allows us to introduce the composition factors and the length of such a fusion category $${\mathcal C}$$C, which are in fact Morita invariants of $${\mathcal C}$$C.

## 5 Citations

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