Quantum permutation groups: a survey

Teodor Banica, Julien Bichon, and Benoît Collins. "Quantum permutation groups: a survey." Banach Center Publications 78.1 (2007): 13-34. <http://eudml.org/doc/282193>.

@article{TeodorBanica2007,
abstract = {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.},
author = {Teodor Banica, Julien Bichon, Benoît Collins},
journal = {Banach Center Publications},
keywords = {quantum permutation group; magic unitary matrix},
language = {eng},
number = {1},
pages = {13-34},
title = {Quantum permutation groups: a survey},
url = {http://eudml.org/doc/282193},
volume = {78},
year = {2007},
}

TY - JOUR
AU - Teodor Banica
AU - Julien Bichon
AU - Benoît Collins
TI - Quantum permutation groups: a survey
JO - Banach Center Publications
PY - 2007
VL - 78
IS - 1
SP - 13
EP - 34
AB - 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.
LA - eng
KW - quantum permutation group; magic unitary matrix
UR - http://eudml.org/doc/282193
ER -