The Frucht property in the quantum group setting
Operator Algebras
2021-10-22 v3 Combinatorics
Quantum Algebra
Abstract
A classical theorem of Frucht states that any finite group appears as the automorphism group of a finite graph. In the quantum setting the problem is to understand the structure of the compact quantum groups which can appear as quantum automorphism groups of finite graphs. We discuss here this question, notably with a number of negative results.
Cite
@article{arxiv.2106.04999,
title = {The Frucht property in the quantum group setting},
author = {Teo Banica and J. P. McCarthy},
journal= {arXiv preprint arXiv:2106.04999},
year = {2021}
}
Comments
41 pages; v3 further revisions, to appear in Glasg. Math. J