English

Universal quantum (semi)groups and Hopf envelopes: Erratum

Quantum Algebra 2022-07-11 v1

Abstract

In \cite{F} there is a statement generalizing the results in \cite{FG}. Unfortunately there is a mistake in a computation that affects the main result. I don't know if the main result in \cite{F} is true or not, but I propose an alternative statement (Theorem 3.7) that was actually the main motivation in \cite{FG}. This statement answers in an affirmative way the question whether the localization of the FRT construction with respect to a quantum determinant is a Hopf algebra, in case the Nichols algebra associated to the braiding is finite dimensional.

Keywords

Cite

@article{arxiv.2207.03528,
  title  = {Universal quantum (semi)groups and Hopf envelopes: Erratum},
  author = {Marco Farinati},
  journal= {arXiv preprint arXiv:2207.03528},
  year   = {2022}
}
R2 v1 2026-06-24T12:17:48.710Z