Quantum automorphism groups of vertex-transitive graphs of order ≤ 11

Journal of Algebraic Combinatorics

Volumn 26, Issue 1, 2007, Pages 83-105

  Banica, Teodor ^a   Bichon, Julien ^b,c  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

^c UNIVERSITÉ CLERMONT AUVERGNE   (France)

Author keywords

Quantum permutation group; Transitive graph

Indexed keywords

GRAPH THEORY; NUMERICAL METHODS;

QUANTUM PERMUTATION GROUP; TRANSITIVE GRAPH;

QUANTUM THEORY;

EID: 34547691247     PISSN: 09259899     EISSN: 15729192     Source Type: Journal    
DOI: 10.1007/s10801-006-0049-9     Document Type: Article

References (19)

1. T. Banica, "Symmetries of a generic coaction," Math. Ann. 314 (1999), 763-780.
2. T. Banica, "Quantum automorphism groups of small metric spaces," Pacific J. Math. 219 (2005), 27-51.
3. T. Banica, "Quantum automorphism groups of homogeneous graphs," J. Funct. Anal. 224 (2005), 243-280.
4. T. Banica and J. Bichon, "Free product formulae for quantum permutation groups," J. Inst. Math. Jussieu, to appear.
5. T. Banica and B. Collins, "Integration over compact quantum groups," Publ. Res. Inst. Math. Sci., to appear.
6. T. Banica and S. Moroianu, "On the structure of quantum permutation groups," Proc. Amer. Math. Soc., to appear.
7. J. Bichon, "Quantum automorphism groups of finite graphs," Proc. Amer. Math. Soc. 131 (2003), 665-673.
8. J. Bichon, "Free wreath product by the quantum permutation group," Alg. Rep. Theory 7 (2004), 343-362.
9. J. Bichon, A. De Rijdt, and S. Vaes, "Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups," Comm. Math. Phys. 262 (2006), 703-728.
10. W. Fulton and J. Harris, Representation Theory: A First Course, GTM 129, Springer, 1991.
11. J. Kustermans and S. Vaes, "Locally compact quantum groups," Ann. Sci. Éc. Norm. Supér. (4) 33(6) (2000), 837-934.
12. A. Maes and A. Van Daele, "Notes on compact quantum groups," Nieuw Arch. Wiskd. (4) 16(1-2) (1998), 73-112.
13. S. Vaes, "Strictly outer actions of groups and quantum groups," J. Reine Angew. Math. 578 (2005), 147-184.
14. S. Vaes and R. Vergnioux, "The boundary of universal discrete quantum groups, exactness and factoriality," arxiv:math.OA/0509706.
15. A. Van Daele and S. Wang, "Universal quantum groups," Internat. J. Math. 7 (1996), 255-264.
16. R. Vergnioux, "The property of rapid decay for discrete quantum groups," preprint.
17. S. Wang, "Free products of compact quantum groups," Comm. Math. Phys. 167 (1995), 671-692.
18. S. Wang, "Quantum symmetry groups of finite spaces," Comm. Math. Phys. 195 (1998), 195-211.
19. S.L. Woronowicz, "Compact matrix pseudogroups," Comm. Math. Phys. 111 (1987), 613-665.