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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2408.05539 |
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| _version_ | 1866910562788573184 |
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| author | Pandey, Ritesh Kumar Sharma, Sachin S. |
| author_facet | Pandey, Ritesh Kumar Sharma, Sachin S. |
| contents | In this paper, we extend the notion of Weyl modules for twisted toroidal Lie algebra $\mathcal{T}(μ)$. We prove that the level one global Weyl modules of $\mathcal{T}(μ)$ are isomorphic to the tensor product of the level one representation of twisted affine Lie algebras and certain lattice vertex algebras. As a byproduct, we calculate the graded character of the level one local Weyl modules of $\mathcal{T}(μ)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05539 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weyl modules for twisted toroidal Lie algebras Pandey, Ritesh Kumar Sharma, Sachin S. Representation Theory In this paper, we extend the notion of Weyl modules for twisted toroidal Lie algebra $\mathcal{T}(μ)$. We prove that the level one global Weyl modules of $\mathcal{T}(μ)$ are isomorphic to the tensor product of the level one representation of twisted affine Lie algebras and certain lattice vertex algebras. As a byproduct, we calculate the graded character of the level one local Weyl modules of $\mathcal{T}(μ)$. |
| title | Weyl modules for twisted toroidal Lie algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2408.05539 |