Free Inhomogeneous Wreath Product of Quantum Groups
Josse van Dobben de Bruyn, Amaury Freslon, Prem Nigam Kar, David E. Roberson, Peter Zeman
公開日: 2025/4/18
Abstract
We introduce the free inhomogeneous wreath product of compact matrix quantum groups, which generalizes the free wreath product (Bichon 2004). We use this to present a general technique to determine quantum automorphism groups of connected graphs in terms of their maximal biconnected subgraphs, provided that we have sufficient information about their quantum automorphism groups. We show that this requirement is met for forests, outerplanar graphs, and block graphs leading to algorithms to compute the quantum automorphism groups of these graphs.