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Quantum automorphism groups of finite graphs
Author(s):
Julien
Bichon
Journal:
Proc. Amer. Math. Soc.
131
(2003),
665-673.
MSC (2000):
Primary 16W30, 46L87
Posted:
October 15, 2002
MathSciNet review:
1937403
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Abstract:
A quantum analogue of the automorphism group of a finite graph is introduced. These are quantum subgroups of the quantum permutation groups defined by Wang. The quantum automorphism group is a stronger invariant for finite graphs than the usual automorphism group. We get a quantum dihedral group  .
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Additional Information:
Julien
Bichon
Affiliation:
Département des Sciences Mathématiques, case 051, Université Montpellier II, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France
Address at time of publication:
Département de Mathématiques, Université de Pau et de Pays de l'Adour, Avenue de l'université, 64000 Pau, France
Email:
Julien.Bichon@univ-pau.fr
DOI:
10.1090/S0002-9939-02-06798-9
PII:
S 0002-9939(02)06798-9
Received by editor(s):
December 23, 1998
Received by editor(s) in revised form:
March 21, 2000
Posted:
October 15, 2002
Communicated by:
David R. Larson
Copyright of article:
Copyright
2002,
American Mathematical Society
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