Normal Hopf subalgebras in cocycle deformations of finite groups
| dc.creator | Galindo, Cesar | |
| dc.creator | Natale, Sonia | |
| dc.date | 2007-08-24 | |
| dc.date | 2007-11-21 | |
| dc.date.accessioned | 2026-07-07T08:43:52Z | |
| dc.date.available | 2026-07-07T08:43:52Z | |
| dc.description | Let $G$ be a finite group and let $π: G \to G'$ be a surjective group homomorphism. Consider the cocycle deformation $L = H^σ$ of the Hopf algebra $H = k^G$ of $k$-valued linear functions on $G$, with respect to some convolution invertible 2-cocycle $σ$. The (normal) Hopf subalgebra $k^{G'} \subseteq k^G$ corresponds to a Hopf subalgebra $L' \subseteq L$. Our main result is an explicit necessary and sufficient condition for the normality of $L'$ in $L$. | |
| dc.description | Final version | |
| dc.identifier | https://arxiv.org/abs/0708.3407 | |
| dc.identifier | http://arxiv.org/abs/0708.3407 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142466 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30 | |
| dc.title | Normal Hopf subalgebras in cocycle deformations of finite groups | |
| dc.type | text |