Quantum automorphism groups of vertex-transitive graphs of order ≤ 11
By T. Banica, Julien Bichon. 2006
54 citations recorded by the source corpus.
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups $${\mathbb Z}_n$$, symmetric groups Sn and quantum symmetric groups $$\mathcal Q_n$$, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/22ea8ca851ff9734a75758b10ec72fe6e10a18ab
How researchers see this paper
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In Algebra and Number Theory
- Julien Bichon
- T. Banica
- Benoît Collins
- Michael Brannan
- Roland Speicher
- Stephen J. Curran
- Moritz Weber
- Pierre Tarrago
In Geometry and Topology
- T. Banica
- Julien Bichon
- Benoît Collins
- Roland Speicher
- Michael Brannan
- Moritz Weber
- Amaury Freslon
- Stephen J. Curran
In Mathematical Physics
- T. Banica
- Julien Bichon
- Benoît Collins
- Roland Speicher
- Michael Brannan
- Moritz Weber
- Amaury Freslon
- Stephen J. Curran
Citations in the corpus
- Quantum permutation groups: a survey (2006, background): “Summarizing, we think that the pedestrian approach in [2], [3], [4], [ 5 ] must be continued with a few more papers, in order for the theory to be mature enough.”
- Quantum groups acting on 4 points (2007, methodology): “quantum subgroups of Qn, using finite graphs [14], [15], [4], [5], [6], [7].”