Diagram categories of Brauer type
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866917706043752448 |
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| author | Barbier, Sigiswald |
| author_facet | Barbier, Sigiswald |
| contents | This paper introduces monoidal (super)categories resembling the Brauer category. For all categories, we can construct bases of the hom-spaces using Brauer diagrams. These categories include the Brauer category, its deformation the BWM-category, the periplectic Brauer category, and its deformation the periplectic $q$-Brauer category but also some new exotic categories. We show that the BWM-category is the unique deformation of the Brauer category in this framework, while the periplectic Brauer category has two deformations, which are each other monoidal opposite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18436 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diagram categories of Brauer type Barbier, Sigiswald Representation Theory Category Theory Quantum Algebra 18M05, 18M30 (Primary) 17B10 (Secondary) This paper introduces monoidal (super)categories resembling the Brauer category. For all categories, we can construct bases of the hom-spaces using Brauer diagrams. These categories include the Brauer category, its deformation the BWM-category, the periplectic Brauer category, and its deformation the periplectic $q$-Brauer category but also some new exotic categories. We show that the BWM-category is the unique deformation of the Brauer category in this framework, while the periplectic Brauer category has two deformations, which are each other monoidal opposite. |
| title | Diagram categories of Brauer type |
| topic | Representation Theory Category Theory Quantum Algebra 18M05, 18M30 (Primary) 17B10 (Secondary) |
| url | https://arxiv.org/abs/2406.18436 |