Classification of simple quasifinite modules for contact superconformal algebras with $N\ne4$
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915094534815744 |
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| author | Cai, Yan-an Lü, Rencai |
| author_facet | Cai, Yan-an Lü, Rencai |
| contents | In this paper, we classify all simple jet modules for contact superconformal algebras $\mathcal{K}(N;ε)$ with $N\neq4$. Then all simple quasifinite modules for $\widehat{\mathcal{K}}(N;ε)$ ($N\neq4$), the universal central extension of $\mathcal{K}(N;ε)$, are classified. Our results show that Matínez-Zelmanov's conjecture in \cite{MZe1} holds for $\mathcal{K}(N;ε)$ ($N\ne4$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04230 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of simple quasifinite modules for contact superconformal algebras with $N\ne4$ Cai, Yan-an Lü, Rencai Representation Theory 17B10, 17B20, 17B65, 17B66, 17B68 In this paper, we classify all simple jet modules for contact superconformal algebras $\mathcal{K}(N;ε)$ with $N\neq4$. Then all simple quasifinite modules for $\widehat{\mathcal{K}}(N;ε)$ ($N\neq4$), the universal central extension of $\mathcal{K}(N;ε)$, are classified. Our results show that Matínez-Zelmanov's conjecture in \cite{MZe1} holds for $\mathcal{K}(N;ε)$ ($N\ne4$). |
| title | Classification of simple quasifinite modules for contact superconformal algebras with $N\ne4$ |
| topic | Representation Theory 17B10, 17B20, 17B65, 17B66, 17B68 |
| url | https://arxiv.org/abs/2501.04230 |