Algebraic quantum permutation groups
| dc.creator | Bichon, Julien | |
| dc.date | 2007-10-08 | |
| dc.date.accessioned | 2026-07-07T08:34:44Z | |
| dc.date.available | 2026-07-07T08:34:44Z | |
| dc.description | We discuss some algebraic aspects of quantum permutation groups, working over arbitrary fields. If $K$ is any characteristic zero field, we show that there exists a universal cosemisimple Hopf algebra coacting on the diagonal algebra $K^n$: this is a refinement of Wang's universality theorem for the (compact) quantum permutation group. We also prove a structural result for Hopf algebras having a non-ergodic coaction on the diagonal algebra $K^n$, on which we determine the possible group gradings when $K$ is algebraically closed and has characteristic zero. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0710.1521 | |
| dc.identifier | http://arxiv.org/abs/0710.1521 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139541 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30, 16S34 | |
| dc.title | Algebraic quantum permutation groups | |
| dc.type | text |