Non-weight modules over generalized Heisenberg-Virasoro algebra of rank two
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915660210110464 |
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| author | Wen, Yi Jing, Naihuan Sun, Jiancai Zhang, Honglian |
| author_facet | Wen, Yi Jing, Naihuan Sun, Jiancai Zhang, Honglian |
| contents | In this paper, we study a class of non-weight modules over the generalized Heisenberg-Virasoro algebra of rank two $\widetilde{L}(p_1, p_2)$. We construct a family of irreducible
$\widetilde{L}(p_1, p_2)$-modules, determine the isomorphism classes and show that these modules exhaust all the $\widetilde{L}(p_1, p_2)$-modules that are free modules of rank one over the Cartan subalgebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07254 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-weight modules over generalized Heisenberg-Virasoro algebra of rank two Wen, Yi Jing, Naihuan Sun, Jiancai Zhang, Honglian Representation Theory 17B05, 17B40, 17B68 In this paper, we study a class of non-weight modules over the generalized Heisenberg-Virasoro algebra of rank two $\widetilde{L}(p_1, p_2)$. We construct a family of irreducible $\widetilde{L}(p_1, p_2)$-modules, determine the isomorphism classes and show that these modules exhaust all the $\widetilde{L}(p_1, p_2)$-modules that are free modules of rank one over the Cartan subalgebra. |
| title | Non-weight modules over generalized Heisenberg-Virasoro algebra of rank two |
| topic | Representation Theory 17B05, 17B40, 17B68 |
| url | https://arxiv.org/abs/2512.07254 |