Simple Hopf algebras and deformations of finite groups
| dc.creator | Galindo, Cesar N. | |
| dc.creator | Natale, Sonia | |
| dc.date | 2006-08-30 | |
| dc.date | 2006-09-07 | |
| dc.date.accessioned | 2026-07-07T07:22:18Z | |
| dc.date.available | 2026-07-07T07:22:18Z | |
| dc.description | We show that certain twisting deformations of a family of supersolvable groups are simple as Hopf algebras. These groups are direct products of two generalized dihedral groups. Examples of this construction arise in dimensions 60 and p^2q^2, for prime numbers p, q with q dividing p-1. We also show that certain twisting deformation of the symmetric group is simple as a Hopf algebra. On the other hand, we prove that every twisting deformation of a nilpotent group is semisolvable. We conclude that the notions of simplicity and (semi)solvability of a semisimple Hopf algebra are not determined by its tensor category of representations. | |
| dc.description | amslatex, 12 pages, reference added in 2.2 | |
| dc.identifier | https://arxiv.org/abs/math/0608734 | |
| dc.identifier | http://arxiv.org/abs/math/0608734 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115611 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | Simple Hopf algebras and deformations of finite groups | |
| dc.type | text |