A note on quantum subgroups of free quantum groups
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 conn...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.641/ |
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| author | Hoshino, Mao Kitamura, Kan |
| author_facet | Hoshino, Mao Kitamura, Kan |
| author_sort | Hoshino, Mao |
| collection | DOAJ |
| description | 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 $\mathbb{F}_n$. |
| format | Article |
| id | doaj-art-151e9435cbcf45a7b72f468c0cf3b4c7 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-151e9435cbcf45a7b72f468c0cf3b4c72025-02-07T11:23:50ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G111327133010.5802/crmath.64110.5802/crmath.641A note on quantum subgroups of free quantum groupsHoshino, Mao0Kitamura, Kan1Graduate School of Mathematical Sciences, the University of Tokyo, 3-8-1 Komaba Meguro-ku Tokyo 153-8914, JapanGraduate School of Mathematical Sciences, the University of Tokyo, 3-8-1 Komaba Meguro-ku Tokyo 153-8914, JapanIn 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 $\mathbb{F}_n$.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.641/free unitary quantum groupquantum subgroupCayley graph |
| spellingShingle | Hoshino, Mao Kitamura, Kan A note on quantum subgroups of free quantum groups Comptes Rendus. Mathématique free unitary quantum group quantum subgroup Cayley graph |
| title | A note on quantum subgroups of free quantum groups |
| title_full | A note on quantum subgroups of free quantum groups |
| title_fullStr | A note on quantum subgroups of free quantum groups |
| title_full_unstemmed | A note on quantum subgroups of free quantum groups |
| title_short | A note on quantum subgroups of free quantum groups |
| title_sort | note on quantum subgroups of free quantum groups |
| topic | free unitary quantum group quantum subgroup Cayley graph |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.641/ |
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