English

The Petersen graph has no quantum symmetry

Operator Algebras 2018-04-11 v2 Functional Analysis

Abstract

In 2007, Banica and Bichon asked whether the well-known Petersen graph has quantum symmetry. In this article, we show that the Petersen graph has no quantum symmetry, i.e. the quantum automorphism group of the Petersen graph is its usual automorphism group, the symmetric group S5S_5.

Cite

@article{arxiv.1801.02942,
  title  = {The Petersen graph has no quantum symmetry},
  author = {Simon Schmidt},
  journal= {arXiv preprint arXiv:1801.02942},
  year   = {2018}
}

Comments

7 pages, notation changed

R2 v1 2026-06-22T23:40:25.961Z