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Quantum symmetries of Cayley graphs of abelian groups

Quantum Algebra 2024-02-07 v2

Abstract

We study Cayley graphs of abelian groups from the perspective of quantum symmetries. We develop a general strategy for determining the quantum automorphism groups of such graphs. Applying this procedure, we find the quantum symmetries of the halved cube graph, the folded cube graph and the Hamming graphs.

Keywords

Cite

@article{arxiv.2106.08787,
  title  = {Quantum symmetries of Cayley graphs of abelian groups},
  author = {Daniel Gromada},
  journal= {arXiv preprint arXiv:2106.08787},
  year   = {2024}
}

Comments

35 pages; corrected {\S}6.2