English

Hopf Categories

Quantum Algebra 2017-01-02 v2

Abstract

We introduce Hopf categories enriched over braided monoidal categories. The notion is linked to several recently developed notions in Hopf algebra theory, such as Hopf group (co)algebras, weak Hopf algebras and duoidal categories. We generalize the fundamental theorem for Hopf modules and some of its applications to Hopf categories.

Keywords

Cite

@article{arxiv.1503.05447,
  title  = {Hopf Categories},
  author = {E. Batista and S. Caenepeel and J. Vercruysse},
  journal= {arXiv preprint arXiv:1503.05447},
  year   = {2017}
}

Comments

47 pages; final version to appear in Algebras and Representation Theory

R2 v1 2026-06-22T08:56:14.026Z