A PBW basis criterion for pointed Hopf algebras
- We give a necessary and sufficient PBW basis criterion for 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. We apply the criterion to classical examples and liftings of Nichols algebras which were determined in arxiv.org:1003.5882.
| Author: | Michael HelbigORCID |
|---|---|
| DOI: | https://doi.org/10.48550/arxiv.1011.0140 |
| Document Type: | Preprint |
| Language: | English |
| Publication Year: | 2010 |
| Release Date: | 2025/12/18 |
| Tag: | Hopf algebra; Nichols algebra; Quantum Algebra |
| Page Number: | 33 |
| First Page: | 1 |
| Last Page: | 33 |
| faculties / departments: | Fakultät für Angewandte Natur- und Geisteswissenschaften |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik |
