English

On the notion of exact sequence: from Hopf algebras to tensor categories

Quantum Algebra 2020-03-30 v1

Abstract

We present an overview of the notions of exact sequences of Hopf algebras and tensor categories and their connections. We also present some examples illustrating their main features; these include simple fusion categories and a natural question regarding composition series of finite tensor categories.

Keywords

Cite

@article{arxiv.2003.12420,
  title  = {On the notion of exact sequence: from Hopf algebras to tensor categories},
  author = {Sonia Natale},
  journal= {arXiv preprint arXiv:2003.12420},
  year   = {2020}
}

Comments

amslatex, 30 pages