English

Finite dimensional pointed Hopf algebras over S_4

Quantum Algebra 2018-06-01 v2 Representation Theory

Abstract

Let k be an algebraically closed field of characteristic 0. We conclude the classification of finite dimensional pointed Hopf algebras whose group of group-likes is S_4. We also describe all pointed Hopf algebras over S_5 whose infinitesimal braiding is associated to the rack of transpositions.

Keywords

Cite

@article{arxiv.0904.2558,
  title  = {Finite dimensional pointed Hopf algebras over S_4},
  author = {Gaston Andres Garcia and Agustin Garcia Iglesias},
  journal= {arXiv preprint arXiv:0904.2558},
  year   = {2018}
}

Comments

22 pages. Some results extended

R2 v1 2026-06-21T12:52:14.054Z