On the presentation of pointed Hopf algebras

2010/03/30 by Helbig, Michael
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1003.5879

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.

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