On the structure of quantum permutation groups
| dc.creator | Banica, Teodor | |
| dc.creator | Moroianu, Sergiu | |
| dc.date | 2004-11-25 | |
| dc.date | 2005-07-28 | |
| dc.date.accessioned | 2026-07-07T06:33:03Z | |
| dc.date.available | 2026-07-07T06:33:03Z | |
| dc.description | The quantum permutation group of the set $X_n=\{1,..., n\}$ corresponds to the Hopf algebra $A_{aut}(X_n)$. This is an algebra constructed with generators and relations, known to be isomorphic to $\cc (S_n)$ for $n\leq 3$, and to be infinite dimensional for $n\geq 4$. In this paper we find an explicit representation of the algebra $A_{aut}(X_n)$, related to Clifford algebras. For $n=4$ the representation is faithful in the discrete quantum group sense. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411576 | |
| dc.identifier | http://arxiv.org/abs/math/0411576 | |
| dc.identifier | Proc. Amer. Math. Soc. 135 (2007), 21-29 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99065 | |
| dc.subject | Quantum Algebra | |
| dc.title | On the structure of quantum permutation groups | |
| dc.type | text |