On the presentation of pointed Hopf algebras

Details On the presentation of pointed Hopf algebras On the presentation of pointed Hopf algebras

2010-03-30

arxiv.org/abs/1003.5879v1

Mathematics

Quantum Algebra

Scientific paper

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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