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Quantum Automorphism Groups of Hypergraphs

Operator Algebras 2024-05-21 v2 Quantum Algebra

Abstract

We introduce a quantum automorphism group for hypergraphs, which turns out to generalize the quantum automorphism group of Bichon for classical graphs. Further, we show that our quantum automorphism group acts on hypergraph C*-algebras as recently defined. In particular, this action generalizes the one on graph C*-algebras by Schmidt-Weber in 2018.

Keywords

Cite

@article{arxiv.2405.09894,
  title  = {Quantum Automorphism Groups of Hypergraphs},
  author = {Nicolas Faroß},
  journal= {arXiv preprint arXiv:2405.09894},
  year   = {2024}
}

Comments

48 pages, updated references

R2 v1 2026-06-28T16:29:10.967Z