A class of weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912947749519360 |
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| author | Xu, Chengkang Zhang, Fen |
| author_facet | Xu, Chengkang Zhang, Fen |
| contents | In this paper, we construct a class of simple weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras from restricted modules over some positive part subalgebra of the twisted Heisenberg-Virasoro algebra. These modules are new. In particular, when $p=2$, the gap-$p$ Virasoro algebra is the mirror Heisenberg-Virasoro algebra and we obtain many new simple weight modules for the mirror Heisenberg-Virasoro algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06015 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A class of weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras Xu, Chengkang Zhang, Fen Representation Theory In this paper, we construct a class of simple weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras from restricted modules over some positive part subalgebra of the twisted Heisenberg-Virasoro algebra. These modules are new. In particular, when $p=2$, the gap-$p$ Virasoro algebra is the mirror Heisenberg-Virasoro algebra and we obtain many new simple weight modules for the mirror Heisenberg-Virasoro algebra. |
| title | A class of weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2603.06015 |