English

On finite-dimensional Hopf algebras

Quantum Algebra 2014-04-01 v1

Abstract

This is a survey on the state-of-the-art of the classification of finite-dimensional complex Hopf algebras. This general question is addressed through the consideration of different classes of such Hopf algebras. Pointed Hopf algebras constitute the class best understood; the classification of those with abelian group is expected to be completed soon and there is substantial progress in the non-abelian case.

Keywords

Cite

@article{arxiv.1403.7838,
  title  = {On finite-dimensional Hopf algebras},
  author = {Nicolás Andruskiewitsch},
  journal= {arXiv preprint arXiv:1403.7838},
  year   = {2014}
}

Comments

25 pages. To be presented at the algebra session of ICM 2014. Submitted version