3 papers · 1 filter
Free Inhomogeneous Wreath Product of Quantum Groups
Josse van Dobben de Bruyn, Amaury Freslon, Prem Nigam Kar +2
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 techn…
Quantum Sabidussi's Theorem
Arnbjörg Soffía Árnadóttir, Josse van Dobben de Bruyn, Prem Nigam Kar +2
Sabidussi's theorem [Duke Math. J. 28, 1961] gives necessary and sufficient conditions under which the automorphism group of a lexicographic product of two graphs is a wreath produ…
Quantum automorphism groups of trees
Josse van Dobben de Bruyn, Prem Nigam Kar, David E. Roberson +2
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 pr…