Quantum automorphism groups of finite graphs
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- by Julien Bichon PDF
- Proc. Amer. Math. Soc. 131 (2003), 665-673 Request permission
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 $D_4$.References
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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
- MR Author ID: 633469
- Email: Julien.Bichon@univ-pau.fr
- Received by editor(s): December 23, 1998
- Received by editor(s) in revised form: March 21, 2000
- Published electronically: October 15, 2002
- Communicated by: David R. Larson
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 665-673
- MSC (2000): Primary 16W30, 46L87
- DOI: https://doi.org/10.1090/S0002-9939-02-06798-9
- MathSciNet review: 1937403