Quantum permutation groups
Résumé
The permutation group $S_N$ has a quantum analogue $S_N^+$, which is infinite at $N\geq4$. We review the known facts regarding $S_N^+$, and its versions $S_F^+$, with $F$ being a finite quantum space. We discuss then the structure of the closed subgroups $G\subset S_N^+$ and $G\subset S_F^+$, with particular attention to the quantum reflection groups.
Domaines
Algèbres d'opérateurs [math.OA]Origine | Fichiers produits par l'(les) auteur(s) |
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