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arXiv · 2403.11151

A note on quantum subgroups of free quantum groups

Mao Hoshino·Kan Kitamura
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Abstract

In this short note, quantum subgroups in finite free products of the Pontryagin duals of free unitary quantum groups are classified. They correspond to pairs of a subgroup $\Gamma$ and a subset $S$ of the free group $\mathbb{F}_n$ such that $S$ is $\Gamma$-invariant, containing $\Gamma$, and connected in the Cayley graph of $\mathbb{F}_n$

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Mao Hoshino, Kan Kitamura. 2024-03-17. A note on quantum subgroups of free quantum groups. https://arxiv.org/abs/2403.11151

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