Quantum automorphism groups of trees

2023/11/08 by de Bruyn, Josse van Dobben, Kar, Prem Nigam, Roberson, David E. +2 · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2311.04891

Abstract

We give a characterisation of quantum automorphism groups of trees. In particular, for every tree, we show how to iteratively construct its quantum automorphism group using free products and free wreath products. This can be considered a quantum version of Jordan's theorem for the automorphism groups of trees. This is one of the first characterisations of quantum automorphism groups of a natural class of graphs with quantum symmetry.

Cited by

• Some Results on Bichon's Quantum Automorphism Group of Graphs

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