Quantum permutation groups: a survey

• Autorzy: Teodor Banica , Julien Bichon , Benoît Collins
• Języki publikacji: EN

Abstrakty

EN

This is a presentation of recent work on quantum permutation groups. Contains: a short introduction to operator algebras and Hopf algebras; quantum permutation groups, and their basic properties; diagrams, integration formulae, asymptotic laws, matrix models; the hyperoctahedral quantum group, free wreath products, quantum automorphism groups of finite graphs, graphs having no quantum symmetry; complex Hadamard matrices, cocycle twists of the symmetric group, quantum groups acting on 4 points; remarks and comments.

Kategorie tematyczne

• 46L54: Free probability and free operator algebras
• 46L65: Quantizations, deformations
• 46L87: Noncommutative differential geometry
• 46L37: Subfactors and their classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 78
• Numer: 1
• Strony: 13-34

Daty

wydano

2007

Twórcy

autor

Teodor Banica

• Department of Mathematics, Paul Sabatier University, 118 route de Narbonne, 31062 Toulouse, France

autor

Julien Bichon

• Department of Mathematics, Blaise Pascal University, Campus des Cezeaux, 63177 Aubière Cedex, France

autor

Benoît Collins

• Department of Mathematics, Claude Bernard University, 43 bd du 11 novembre 1918, 69622 Villeurbanne, France

Identyfikatory

DOI

10.4064/bc78-0-1