English

A Jordan-H\" older theorem for weakly group-theoretical fusion categories

Quantum Algebra 2015-12-15 v2

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.

Keywords

Cite

@article{arxiv.1506.00250,
  title  = {A Jordan-H\" older theorem for weakly group-theoretical fusion categories},
  author = {Sonia Natale},
  journal= {arXiv preprint arXiv:1506.00250},
  year   = {2015}
}

Comments

final revised version