New products and $\mathbb{Z}_2$-extensions of compact matrix quantum groups
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2019
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916116556677120 |
|---|---|
| author | Gromada, Daniel Weber, Moritz |
| author_facet | Gromada, Daniel Weber, Moritz |
| contents | There are two very natural products of compact matrix quantum groups: the tensor product $G\times H$ and the free product $G*H$. We define a number of further products interpolating these two. We focus more in detail to the case where $G$ is an easy quantum group and $H=\hat{\mathbb{Z}}_2$, the dual of the cyclic group of order two. We study subgroups of $G*\hat{\mathbb{Z}}_2$ using categories of partitions with extra singletons. Closely related are many examples of non-easy bistochastic quantum groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_08462 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | New products and $\mathbb{Z}_2$-extensions of compact matrix quantum groups Gromada, Daniel Weber, Moritz Quantum Algebra Operator Algebras 20G42 (Primary), 05A18, 18D10 (Secondary) There are two very natural products of compact matrix quantum groups: the tensor product $G\times H$ and the free product $G*H$. We define a number of further products interpolating these two. We focus more in detail to the case where $G$ is an easy quantum group and $H=\hat{\mathbb{Z}}_2$, the dual of the cyclic group of order two. We study subgroups of $G*\hat{\mathbb{Z}}_2$ using categories of partitions with extra singletons. Closely related are many examples of non-easy bistochastic quantum groups. |
| title | New products and $\mathbb{Z}_2$-extensions of compact matrix quantum groups |
| topic | Quantum Algebra Operator Algebras 20G42 (Primary), 05A18, 18D10 (Secondary) |
| url | https://arxiv.org/abs/1907.08462 |