A Jordan-H\" older theorem for weakly group-theoretical fusion categories
Abstract
We prove a version of the Jordan-H\" older 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 C, which are in fact Morita invariants of C.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2015
- DOI:
- 10.48550/arXiv.1506.00250
- arXiv:
- arXiv:1506.00250
- Bibcode:
- 2015arXiv150600250N
- Keywords:
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- Mathematics - Quantum Algebra;
- 18D10;
- 16T05
- E-Print:
- final revised version