On the presentation of pointed Hopf algebras
- 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.
| Author: | Michael HelbigORCID |
|---|---|
| DOI: | https://doi.org/10.48550/arXiv.1003.5879 |
| Document Type: | Preprint |
| Language: | English |
| Publication Year: | 2010 |
| Release Date: | 2025/12/18 |
| Tag: | Hopf algebra; Nichols algebra; Quantum Algebra |
| Page Number: | 13 |
| First Page: | 1 |
| Last Page: | 13 |
| faculties / departments: | Fakultät für Angewandte Natur- und Geisteswissenschaften |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik |
