English

Weak Hopf monoids in braided monoidal categories

Quantum Algebra 2010-03-03 v1 Category Theory

Abstract

We develop the theory of weak bimonoids in braided monoidal categories and show them to be quantum categories in a certain sense. Weak Hopf monoids are shown to be quantum groupoids. Each separable Frobenius monoid R leads to a weak Hopf monoid R \otimes R.

Keywords

Cite

@article{arxiv.0801.4067,
  title  = {Weak Hopf monoids in braided monoidal categories},
  author = {Craig Pastro and Ross Street},
  journal= {arXiv preprint arXiv:0801.4067},
  year   = {2010}
}

Comments

45 pages

R2 v1 2026-06-21T10:06:44.317Z