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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2111.10691 |
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| _version_ | 1866917617632018432 |
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| author | Chen, Haibo Dai, Xiansheng Liu, Dong Pei, Yufeng |
| author_facet | Chen, Haibo Dai, Xiansheng Liu, Dong Pei, Yufeng |
| contents | In this paper, we introduce a new family of functors from the category of modules for the Weyl algebra to the category of modules for the super-Virasoro algebras. The properties of these functors are investigated, with an emphasis on irreducibility preservation and natural isomorphisms. By utilizing these functors, we recover some old irreducible super-Virasoro modules, including those from the irreducible intermediate series as well as irreducible $U(\mathfrak{h})$-free modules. Additionally, we provide several families of new irreducible super-Virasoro modules via our constructed functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_10691 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Irreducible Modules for Super-Virasoro Algebras from Algebraic D-Modules Chen, Haibo Dai, Xiansheng Liu, Dong Pei, Yufeng Representation Theory In this paper, we introduce a new family of functors from the category of modules for the Weyl algebra to the category of modules for the super-Virasoro algebras. The properties of these functors are investigated, with an emphasis on irreducibility preservation and natural isomorphisms. By utilizing these functors, we recover some old irreducible super-Virasoro modules, including those from the irreducible intermediate series as well as irreducible $U(\mathfrak{h})$-free modules. Additionally, we provide several families of new irreducible super-Virasoro modules via our constructed functors. |
| title | Irreducible Modules for Super-Virasoro Algebras from Algebraic D-Modules |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2111.10691 |