Categorification of quantum boson algebras
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908540074983424 |
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| author | Qunell, Sam |
| author_facet | Qunell, Sam |
| contents | We produce graded monoidal categorifications of the quantum boson algebras in any symmetrizable Kac-Moody type. Our categories are defined in terms of diagrammatic generators and relations and have a faithful 2-representation on Khovanov-Lauda and Rouquier's categorification of the corresponding positive part quantum group. We use our construction to produce interesting bases of the quantum boson algebras and quantum bosonic extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12163 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Categorification of quantum boson algebras Qunell, Sam Quantum Algebra Representation Theory 81R50, 17B37 We produce graded monoidal categorifications of the quantum boson algebras in any symmetrizable Kac-Moody type. Our categories are defined in terms of diagrammatic generators and relations and have a faithful 2-representation on Khovanov-Lauda and Rouquier's categorification of the corresponding positive part quantum group. We use our construction to produce interesting bases of the quantum boson algebras and quantum bosonic extensions. |
| title | Categorification of quantum boson algebras |
| topic | Quantum Algebra Representation Theory 81R50, 17B37 |
| url | https://arxiv.org/abs/2509.12163 |