Hopf Algebras which Factorize through the Taft Algebra Tm²(q) and the Group Hopf Algebra K[Cn]

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Agore, A.-L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209437
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hopf Algebras which Factorize through the Taft Algebra Tm²(q) and the Group Hopf Algebra K[Cn] / A.-L. Agore // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 23 назв. — англ.

We completely describe by generators and relations and classify all Hopf algebras which factorize through the Taft algebra Tm²(q) and the group Hopf algebra K[Cn]: they are nm²-dimensional quantum groups Tωnm²(q) associated to an n-th root of unity ω. Furthermore, using Dirichlet's prime number...