Geodesic
On quantum Cayley graphs
Documenta mathematica, Tome 29 (2024) no. 6, pp. 1281-1317

Voir la notice de l'article provenant de la source EMS Press

We clarify the correspondence between two approaches to quantum graphs: via quantum adjacency matrices and via quantum relations. We show how the choice of a (possibly non-tracial) weight manifests itself on the quantum relation side and suggest an extension of the theory of quantum graphs to the infinite dimensional case. Then we use this framework to introduce quantum graphs associated to discrete quantum groups, leading to a new definition of a quantum Cayley graph.
DOI : 10.4171/dm/987
Classification : 46L89, 46L67
Mots-clés : quantum graphs, covariant adjacency matrices 
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     title = {On quantum {Cayley} graphs},
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Mateusz Wasilewski. On quantum Cayley graphs. Documenta mathematica, Tome 29 (2024) no. 6, pp. 1281-1317. doi: 10.4171/dm/987

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