(Quasi-)admissible modules over symmetrizable Kac-Moody superalgebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908736417693696 |
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| author | Gorelik, Maria Kac, Victor |
| author_facet | Gorelik, Maria Kac, Victor |
| contents | The theory of admissible modules over symmetrizable anisotropic Kac-Moody superalgebras, introduced by Kac and Wakimoto in late 80's, is a well-developed subject with many applications, including representation theory of vertex algebras. Recently this theory was developed in a more general setup by Gorelik and Serganova. In the present paper we develop in this more general setup the theory of admissible modules over arbitrary symmetrizable Kac-Moody superalgebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00460 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | (Quasi-)admissible modules over symmetrizable Kac-Moody superalgebras Gorelik, Maria Kac, Victor Representation Theory Mathematical Physics 17B67, 17B68, 13B69 The theory of admissible modules over symmetrizable anisotropic Kac-Moody superalgebras, introduced by Kac and Wakimoto in late 80's, is a well-developed subject with many applications, including representation theory of vertex algebras. Recently this theory was developed in a more general setup by Gorelik and Serganova. In the present paper we develop in this more general setup the theory of admissible modules over arbitrary symmetrizable Kac-Moody superalgebras. |
| title | (Quasi-)admissible modules over symmetrizable Kac-Moody superalgebras |
| topic | Representation Theory Mathematical Physics 17B67, 17B68, 13B69 |
| url | https://arxiv.org/abs/2512.00460 |