English

Hopf cocycles associated to pointed and copointed deformations over S3

Quantum Algebra 2024-06-14 v2

Abstract

We present an explicit description of the Hopf 2-cocycles involved in the classification of finite dimensional pointed and copointed Hopf algebras over the symmetric group on three letters. We determine which cocycles are exponentials of Hochschild 2-cocycles and which ones are pure.

Keywords

Cite

@article{arxiv.2203.16342,
  title  = {Hopf cocycles associated to pointed and copointed deformations over S3},
  author = {Agustin Garcia Iglesias and Jose Ignacio Sanchez},
  journal= {arXiv preprint arXiv:2203.16342},
  year   = {2024}
}

Comments

19 pages. We have shortened some of the proofs via the use of GAP. As well, the overall presentation has been improved