A note on quantum subgroups of free quantum groups
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917616535207936 |
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| author | Hoshino, Mao Kitamura, Kan |
| author_facet | Hoshino, Mao Kitamura, Kan |
| contents | 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 $Γ$ and a subset $S$ of the free group $\mathbb{F}_n$ such that $S$ is $Γ$-invariant, containing $Γ$, and connected in the Cayley graph of $\mathbb{F}_n$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11151 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on quantum subgroups of free quantum groups Hoshino, Mao Kitamura, Kan Operator Algebras Primary 46L67, Secondary 05C25 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 $Γ$ and a subset $S$ of the free group $\mathbb{F}_n$ such that $S$ is $Γ$-invariant, containing $Γ$, and connected in the Cayley graph of $\mathbb{F}_n$ |
| title | A note on quantum subgroups of free quantum groups |
| topic | Operator Algebras Primary 46L67, Secondary 05C25 |
| url | https://arxiv.org/abs/2403.11151 |