@unpublished{Helbig2025, author = {Helbig, Michael}, title = {On the presentation of pointed Hopf algebras}, doi = {10.48550/arXiv.1003.5879}, institution = {Fakult{\"a}t f{\"u}r Angewandte Natur- und Geisteswissenschaften}, pages = {1 -- 13}, year = {2025}, 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.}, language = {en} }