TY  - INPR
U1  - Preprint
A1  - Helbig, Michael
T1  - On the presentation of pointed Hopf algebras
N2  - 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.
AB  - 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.
KW  - Quantum Algebra
KW  - Hopf algebra
KW  - Nichols algebra
Y1  - 2025
U6  - https://doi.org/10.48550/arXiv.1003.5879
DO  - https://doi.org/10.48550/arXiv.1003.5879
SP  - 1
EP  - 13
S1  - 13
ER  -