English

Existence of Tannakian subcategories and its applications

Category Theory 2016-05-31 v3 Quantum Algebra

Abstract

We study several classes of braided fusion categories, and prove that they all contain nontrivial Tannakian subcategories. As applications, we classify some fusion categories in terms of solvability and group-theoreticality.

Keywords

Cite

@article{arxiv.1404.4115,
  title  = {Existence of Tannakian subcategories and its applications},
  author = {Jingcheng Dong and Li Dai},
  journal= {arXiv preprint arXiv:1404.4115},
  year   = {2016}
}

Comments

Title is changed; Section 5 is new; one result is corrected