English

On coherent Hopf 2-algebras

Quantum Algebra 2026-05-22 v4

Abstract

We construct a coherent Hopf 2-algebra in terms of Hopf coquasigroups, which relax the coassociativity condition and generalize the results in \cite{XH2023}. We also study quasi coassociative Hopf coquasigroups, and show that they give rise to coherent Hopf 2-algebras with nontrivial coassociators. As an example, we investigate the algebra of functions on a Cayley algebra basis.

Keywords

Cite

@article{arxiv.2005.11207,
  title  = {On coherent Hopf 2-algebras},
  author = {Xiao Han},
  journal= {arXiv preprint arXiv:2005.11207},
  year   = {2026}
}
R2 v1 2026-06-23T15:44:31.345Z