Noetherianity of twisted Zhu algebra and bimodules
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866917682015633408 |
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| author | Liu, Jianqi |
| author_facet | Liu, Jianqi |
| contents | In this paper we show that for a large natural class of vertex operator algebras (VOAs) and their modules, the Zhu algebras and bimodules (and their $g$-twisted analogs) are Noetherian. These carry important information about the representation theory of the VOA, and its fusion rules, and the Noetherian property gives the potential for (non-commutative) algebro-geometric methods to be employed in their study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_08090 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Noetherianity of twisted Zhu algebra and bimodules Liu, Jianqi Quantum Algebra Rings and Algebras 17B69, 16P40, 13A02, 16D20 In this paper we show that for a large natural class of vertex operator algebras (VOAs) and their modules, the Zhu algebras and bimodules (and their $g$-twisted analogs) are Noetherian. These carry important information about the representation theory of the VOA, and its fusion rules, and the Noetherian property gives the potential for (non-commutative) algebro-geometric methods to be employed in their study. |
| title | Noetherianity of twisted Zhu algebra and bimodules |
| topic | Quantum Algebra Rings and Algebras 17B69, 16P40, 13A02, 16D20 |
| url | https://arxiv.org/abs/2103.08090 |