Evaluation 2-Functors for Kac-Moody 2-Categories of Type A2
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914381607993344 |
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| author | Mackaay, Marco Macpherson, James Vaz, Pedro |
| author_facet | Mackaay, Marco Macpherson, James Vaz, Pedro |
| contents | We construct a 2-functor from the Kac-Moody 2-category for the extended quantum affine sl(3) to the homotopy 2-category of bounded chain complexes with values in the Kac-Moody 2-category for quantum gl(3), categorifying the evaluation map between the corresponding quantum Kac-Moody algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10434 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Evaluation 2-Functors for Kac-Moody 2-Categories of Type A2 Mackaay, Marco Macpherson, James Vaz, Pedro Quantum Algebra Category Theory 17B67, 20G42 We construct a 2-functor from the Kac-Moody 2-category for the extended quantum affine sl(3) to the homotopy 2-category of bounded chain complexes with values in the Kac-Moody 2-category for quantum gl(3), categorifying the evaluation map between the corresponding quantum Kac-Moody algebras. |
| title | Evaluation 2-Functors for Kac-Moody 2-Categories of Type A2 |
| topic | Quantum Algebra Category Theory 17B67, 20G42 |
| url | https://arxiv.org/abs/2409.10434 |