On the presentation of pointed Hopf algebras
Quantum Algebra
2010-03-31 v1
Abstract
We give a presentation in terms of generators and relations of Hopf algebras generated by skew-primitive elements and abelian group of group-like elements with action given via characters. This class of pointed Hopf algebras has shown great importance in the classification theory and can be seen as generalized quantum groups. As a consequence we get an analog presentation of Nichols algebras of diagonal type.
Keywords
Cite
@article{arxiv.1003.5879,
title = {On the presentation of pointed Hopf algebras},
author = {Michael Helbig},
journal= {arXiv preprint arXiv:1003.5879},
year = {2010}
}