On quantum Cayley graphs
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915056424321024 |
|---|---|
| author | Wasilewski, Mateusz |
| author_facet | Wasilewski, Mateusz |
| contents | We clarify the correspondence between the two approaches to quantum graphs: via quantum adjacency matrices and via quantum relations. We show how the choice of a (possibly non-tracial) weight manifests itself on the quantum relation side and suggest an extension of the theory of quantum graphs to the infinite dimensional case. Then we use this framework to introduce quantum graphs associated to discrete quantum groups, leading to a new definition of a quantum Cayley graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_15315 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On quantum Cayley graphs Wasilewski, Mateusz Operator Algebras Quantum Algebra We clarify the correspondence between the two approaches to quantum graphs: via quantum adjacency matrices and via quantum relations. We show how the choice of a (possibly non-tracial) weight manifests itself on the quantum relation side and suggest an extension of the theory of quantum graphs to the infinite dimensional case. Then we use this framework to introduce quantum graphs associated to discrete quantum groups, leading to a new definition of a quantum Cayley graph. |
| title | On quantum Cayley graphs |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2306.15315 |