Kac-Moody algebras in Deligne's Category
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917699535241216 |
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| author | Motorin, Ivan |
| author_facet | Motorin, Ivan |
| contents | We generalize the notion of a Kac-Moody Lie algebra to the setting of Deligne Categories. Then we derive the Kac-Weyl formula for the category $\mathcal{O}$ integrable representations for such an algebra. This paper generalizes results of A. Pakharev \cite{AP}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13841 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kac-Moody algebras in Deligne's Category Motorin, Ivan Representation Theory Category Theory Quantum Algebra We generalize the notion of a Kac-Moody Lie algebra to the setting of Deligne Categories. Then we derive the Kac-Weyl formula for the category $\mathcal{O}$ integrable representations for such an algebra. This paper generalizes results of A. Pakharev \cite{AP}. |
| title | Kac-Moody algebras in Deligne's Category |
| topic | Representation Theory Category Theory Quantum Algebra |
| url | https://arxiv.org/abs/2406.13841 |